{"id":39879,"date":"2023-12-08T22:10:16","date_gmt":"2023-12-08T21:10:16","guid":{"rendered":"https:\/\/wmi.uwr.edu.pl\/?page_id=39879"},"modified":"2023-12-18T16:41:10","modified_gmt":"2023-12-18T15:41:10","slug":"english-research","status":"publish","type":"page","link":"https:\/\/wmi.uwr.edu.pl\/en\/english-research\/","title":{"rendered":"Research"},"content":{"rendered":"\n<div class=\"wp-block-ugb-container ugb-container blok_nowa_podstrona ugb-8dda971 ugb-container--v2 ugb-container--design-plain ugb-main-block\"><div class=\"ugb-inner-block\"><div class=\"ugb-block-content\"><div class=\"ugb-container__wrapper ugb-8dda971-wrapper\"><div class=\"ugb-container__side\"><div class=\"ugb-container__content-wrapper ugb-8dda971-content-wrapper\">\n<div class=\"wp-block-columns bs-news-page is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column bs-kontakt-photo is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/wmi.uwr.edu.pl\/wp-content\/uploads\/sites\/288\/2023\/04\/Kopia-_MG_2862-1-1024x683.jpg\" alt=\"Diagramy\" class=\"wp-image-33160\"\/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column bs-contact-right-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-bonasoft-modular-breadcrumbs-block\"><div class=\"bs_add_breadcrumb_trail\"><\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-black-color has-css-opacity has-black-background-color has-background is-style-wide bs-border-kontakt\"\/>\n\n\n\n<h1 class=\"wp-block-heading bs-naglowek-podstrony\"><strong>Research<\/strong> <\/h1>\n\n\n<div class=\"bs__links\">\r\n    <div class=\"bs__links__section\">\r\n        <ul class=\"bs__links__list\">\r\n                            <li class=\"bs__links__list__item\">\r\n                    <a href=\"#math\" class=\"bs__links__list__item__link\">\r\n                        Mathematics \r\n                        <div class=\"bs__links__list__item__link__before__icon\">\r\n                            <div class=\"bs__links__list__item__link__icon\">\r\n                                <svg width=\"40px\" height=\"40px\" viewBox=\"0 0 22 16\" version=\"1.1\">\r\n                                <g stroke=\"none\" strokeWidth=\"1\" fill=\"black\" fillRule=\"evenodd\">\r\n                                    <g>\r\n                                    <polygon points=\"13.4875 0 12 1.6215 18.7875 8 12 14.3795 13.4875 16 21.9995 8\" \/>\r\n                                    <\/g>\r\n                                <\/g>\r\n                                <\/svg>\r\n                            <\/div>\r\n                        <\/div>\r\n                    <\/a>\r\n                <li>\r\n                            <li class=\"bs__links__list__item\">\r\n                    <a href=\"#cs\" class=\"bs__links__list__item__link\">\r\n                        Computer Science \r\n                        <div class=\"bs__links__list__item__link__before__icon\">\r\n                            <div class=\"bs__links__list__item__link__icon\">\r\n                                <svg width=\"40px\" height=\"40px\" viewBox=\"0 0 22 16\" version=\"1.1\">\r\n                                <g stroke=\"none\" strokeWidth=\"1\" fill=\"black\" fillRule=\"evenodd\">\r\n                                    <g>\r\n                                    <polygon points=\"13.4875 0 12 1.6215 18.7875 8 12 14.3795 13.4875 16 21.9995 8\" \/>\r\n                                    <\/g>\r\n                                <\/g>\r\n                                <\/svg>\r\n                            <\/div>\r\n                        <\/div>\r\n                    <\/a>\r\n                <li>\r\n                    <\/ul>\r\n    <\/div>\r\n<\/div><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><strong><a name=\"math\">Mathematics<\/a><\/strong><\/h2>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-92cd87b is-style-default\" data-block-id=\"92cd87b\">\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-c197cca stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"c197cca\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-c197cca-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-c197cca-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-df1e619\" data-block-id=\"df1e619\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-92cabd3\" id=\"harmonic-analysis\" data-block-id=\"92cabd3\"><h4 class=\"stk-block-heading__text\">Harmonic analysis<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-93de885\" data-block-id=\"93de885\"><span class=\"stk--svg-wrapper\"><div class=\"stk--inner-svg\"><svg style=\"height:0;width:0\"><defs><linearGradient id=\"linear-gradient-93de885\" x1=\"0\" x2=\"100%\" y1=\"0\" y2=\"0\"><stop offset=\"0%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-93-de-885-color-1)\"><\/stop><stop offset=\"100%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-93-de-885-color-2)\"><\/stop><\/linearGradient><\/defs><\/svg><svg aria-hidden=\"true\" data-prefix=\"fas\" data-icon=\"chevron-down\" class=\"svg-inline--fa fa-chevron-down fa-w-14\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 448 512\" width=\"32\" height=\"32\"><path fill=\"currentColor\" d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div><\/span><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-54b6ff0 stk-block-accordion__content\" data-v=\"4\" data-block-id=\"54b6ff0\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-54b6ff0-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-54b6ff0-inner-blocks\">\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Research<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>The research interests of the group concentrate on real analysis, harmonic analysis and applications of analysis in probability theory. The probabilistic researches concern stochastic equations, branching processes and branching random walks. The analytic studies focus on discrete harmonic analysis, analytic number theory, real analysis on Lie groups and spaces of homogenuous type, LIttlewood-Paley theory, singular and oscillating integrals, functional spaces and orthogonal polynomials. Collaborators: <\/p>\n\n\n\n<p>G. Alsmeyer (Muenster), J.P. Anker (Orleans), Viktor Bezborodov (Bielefeld ), A. Bhattacharya (Indian Institute of Technology), S. Brofferio (Paris Orsay), N. Gantert (Technische Universit\u00e4t M\u00fcnchen),  A. Iksanov (Kiev), P. Ivanisvili (UC Irvine), S. G. G. Johnston (King&#8217;s College London), M. Lemm (Tubingen), C. Mailler ( Bath), B. Mallein (Universit\u00e9 Paris 13), A. Marynich (Kiev), S. Mentemeier (Hildesheim), M. Matsui (Nanzan University), S. Meda (Mediolan), T. Mikosch (Copenhagen), C. Perez (Sevilla), J. Prochno (Passau), F. Ricci (SNS Piza), D. Schmid (Bonn), L. Slavikova (Praga), J.Wright (Edynburg).<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Group<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Dariusz Buraczewski, Wojciech Cygan, Ewa Damek, Piotr Dyszewski, Jacek Dziuba\u0144ski, Pawe\u0142 G\u0142owacki, Waldemar Hebisch, Agnieszka Hejna, Edyta Kania, Konrad Kolesko, Yuriy Kryakin, Mariusz Mirek, Maciej Paluszy\u0144ski, Marcin Preisner, Ziemowit Rzeszotnik, Witold \u015awi\u0105tkowski, Grzegorz \u015awiderski, Roman Urban, B\u0142a\u017cej Wr\u00f3bel, <\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-e9defff is-style-default\" data-block-id=\"e9defff\">\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-e477123 stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"e477123\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-e477123-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-e477123-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-bbb97d7\" data-block-id=\"bbb97d7\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-d8483ff\" id=\"partial-differential-equations\" data-block-id=\"d8483ff\"><h4 class=\"stk-block-heading__text\">Partial differential equations<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-dc4fa6e\" data-block-id=\"dc4fa6e\"><span class=\"stk--svg-wrapper\"><div class=\"stk--inner-svg\"><svg style=\"height:0;width:0\"><defs><linearGradient id=\"linear-gradient-dc4fa6e\" x1=\"0\" x2=\"100%\" y1=\"0\" y2=\"0\"><stop offset=\"0%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-dc-4-fa-6-e-color-1)\"><\/stop><stop offset=\"100%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-dc-4-fa-6-e-color-2)\"><\/stop><\/linearGradient><\/defs><\/svg><svg data-prefix=\"fas\" data-icon=\"chevron-down\" class=\"svg-inline--fa fa-chevron-down fa-w-14\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 448 512\" aria-hidden=\"true\" width=\"32\" height=\"32\"><path fill=\"currentColor\" d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div><\/span><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-cc7b673 stk-block-accordion__content\" data-v=\"4\" data-block-id=\"cc7b673\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-cc7b673-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-cc7b673-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-f643cfc\" data-block-id=\"f643cfc\"><p class=\"stk-block-text__text\"><\/p><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Research<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Most frequently discussed topics include: nonlocal problems (chemotaxis etc.), nonlocal diffusion operators, porous media equations, reaction-diffusion systems, equations of hydrodynamics. The group maintains long-standing scientific contacts with French and Austrian mathamaticians: J. Dolbeault, M. J. Esteban, D. Hilhorst, P. A. Markowich, Ph. Lauren\u00e7ot, M. Cannone, L. Brandolese, C. Imbert, R. Monneau.<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Group<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Piotr&nbsp;Biler, Szymon Cygan, Grzegorz Karch, Krzysztof Krawczyk, &nbsp;Mi\u0142osz Krupski, Andrzej Krzywicki (emer.), Andrzej Raczy\u0144ski, Robert Sta\u0144czy, Krzysztof Tabisz<\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-1cf9db3 is-style-default\" data-block-id=\"1cf9db3\">\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-93343ed stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"93343ed\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-93343ed-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-93343ed-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-4b510ed\" data-block-id=\"4b510ed\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-f51d331\" id=\"applications-of-probability-theory\" data-block-id=\"f51d331\"><h4 class=\"stk-block-heading__text\">Applications of probability theory<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-a028ea1\" data-block-id=\"a028ea1\"><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-44b53a0 stk-block-accordion__content\" data-v=\"4\" data-block-id=\"44b53a0\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-44b53a0-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-44b53a0-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-1045e86\" data-block-id=\"1045e86\"><p class=\"stk-block-text__text\"><\/p><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Badania<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Research Fields\/Topics: \u25cf Gaussian processes; extreme value theory of Gaussian processes; exact asymptotic for extrema; Pickand\u2019s constants; \u25cf Levy processes; extreme value theory of Levy processes; fluctuation theory of Levy processes; reflected Levy processes; refracted Levy processes; heavy tailed distributions; \u25cf Markov processes; stochastic networks, queueing networks; fluid queues; Kendall walks; speed of convergence for finite Markov chains; cut-off phenomena; Markov chains in cryptography; MCMC; dual Markov chains; \u25cf Point processes; Boolean models in stochastic geometry, determinantal and permanental point processes, Gibbs point processes; correlation inequalities; FKG inequalities; particle systems; \u25cf Generalized convolutions; Kendall convolutions; non-commutative convolutions; sequences of moments for convolutions; \u25cf Financial and actuarial mathematics; Parisian ruin models; mortality rate models; optimal detection in Levy models; copulas and Levy copulas; mathematics of financial instruments; mathematical models for business;<br>Collaborators: prof. Soeren Asmussen, Aarhus University, Aarhus, Denmark, prof. Franck Adekambi, University of Johannesburg, Johannesburg, SA, prof. Erik Baurdoux &#8211; London School of Economics (LSE), London, UK, prof. Bartek Blaszczyszyn, INRIA-ENS, Paris, France, prof. Hans Daduna, Hamburg University, Hamburg, Germany, prof. Ton Dieker, Columbia, New York, USA, prof. Jos\u00e9 Luis P\u00e9rez Garmendia, Department of Probability and Statistics,Centro de Investigacion en Matematicas (CIMAT) Guanajuato, Mexico. prof. H\u00e9l\u00e8ne Gu\u00e9rin, RMAR, Universit\u00e9 de Rennes 1, Rennes Cedex, France, prof. Enkelejd Hashorva, University of Lausanne, Lausanne, Switzerland, prof. Michel prof. Tomasz J. Kozubowski, University of Nevada, Reno, USA, prof. Guenter Last, Karlsruhe Institute of Technology, Karlsruhe, Germany, prof. Michel Mandjes, University of Amsterdam, Amsterdam, Netherlands, prof. Anna K. Panorska, University of Nevada, Reno, USA prof. Jan Rosi\u0144ski, University of Tennessee, Tennessee,USA prof. Kazutoshi Yamazaki, Department of Mathematics, Faculty of Engineering Science, Kansai University, Japan.<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Zesp\u00f3\u0142<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Marek Arendarczyk, Krzysztof D\u0119bicki, Barbara Jasiulis-Go\u0142dyn, Adam Kaszubowski, Pawe\u0142 Kawa, Przemys\u0142aw Klusik, Micha\u0142 Krawiec, Pawe\u0142 Lorek, Bogdan Mincer, Tomasz Rolski, Ryszard Szekli<\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-790a47d is-style-default\" data-block-id=\"790a47d\">\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-2e4fd47 stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"2e4fd47\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-2e4fd47-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-2e4fd47-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-ed06b50\" data-block-id=\"ed06b50\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-4ca267c\" id=\"noncommutative-probability-and-harmonic-analysis-and-quantum-functional-analysis\" data-block-id=\"4ca267c\"><h4 class=\"stk-block-heading__text\">Noncommutative probability and harmonic analysis, and quantum functional analysis.<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-8c1c0bd\" data-block-id=\"8c1c0bd\"><span class=\"stk--svg-wrapper\"><div class=\"stk--inner-svg\"><svg style=\"height:0;width:0\"><defs><linearGradient id=\"linear-gradient-8c1c0bd\" x1=\"0\" x2=\"100%\" y1=\"0\" y2=\"0\"><stop offset=\"0%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-8-c-1-c-0-bd-color-1)\"><\/stop><stop offset=\"100%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-8-c-1-c-0-bd-color-2)\"><\/stop><\/linearGradient><\/defs><\/svg><svg aria-hidden=\"true\" data-prefix=\"fas\" data-icon=\"chevron-down\" class=\"svg-inline--fa fa-chevron-down fa-w-14\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 448 512\" width=\"32\" height=\"32\"><path fill=\"currentColor\" d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div><\/span><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-e18793f stk-block-accordion__content\" data-v=\"4\" data-block-id=\"e18793f\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-e18793f-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-e18793f-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-900d356\" data-block-id=\"900d356\"><p class=\"stk-block-text__text\"><\/p><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Research<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Generalized noncommutative stochastic processes and connections with deformed commutation relations and with classical probability, and properties of the associate von Neumann algebras. Brownian Motions related to Coxeter groups of type B and D. Simultaneous infinite divisibility of probability measures in both classical and free probability and their Bargmann representations. Properties of deformations of operators corresponding to deformations of measures in noncommutative probability. Combinatorial aspects of noncommutative probability. New models of independence in noncommutative probability. Levy processes on quantum groups. Orthogonal polynomials and the problem of moments.<\/p>\n\n\n\n<p>Collaborators: R. Speicher, M. Weber (Saarbruecken), F. Goetze (Bielefeld), N. Obata, F. Hiai (Tohoku), U. Franz (Besancon), K. Penson (Paris), F. Cipriani (Mediolan), T. Hasebe (Kyoto), E. Lytvynov (Swansea), M. Wojtylak (Krak\u00f3w), A. Skalski (Warszawa), F. Lehner (Graz), C. Berg (Copenhagen).<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Group<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Marek Bo\u017cejko (emerytowany), Biswarup Das, Lahcen Oussi, Wojciech M\u0142otkowski, Ryszard Szwarc, Mariusz Tobolski, Janusz Wysocza\u0144ski, Anna Wysocza\u0144ska-Kula<\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<div style=\"height:0px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-11a6754 is-style-default\" data-block-id=\"11a6754\">\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-bfd3620 stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"bfd3620\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-bfd3620-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-bfd3620-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-f6d31cb\" data-block-id=\"f6d31cb\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-848516d\" id=\"geometry\" data-block-id=\"848516d\"><h4 class=\"stk-block-heading__text\">Geometry<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-015156b\" data-block-id=\"015156b\"><span class=\"stk--svg-wrapper\"><div class=\"stk--inner-svg\"><svg style=\"height:0;width:0\"><defs><linearGradient id=\"linear-gradient-015156b\" x1=\"0\" x2=\"100%\" y1=\"0\" y2=\"0\"><stop offset=\"0%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-015156-b-color-1)\"><\/stop><stop offset=\"100%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-015156-b-color-2)\"><\/stop><\/linearGradient><\/defs><\/svg><svg aria-hidden=\"true\" data-prefix=\"fas\" data-icon=\"chevron-down\" class=\"svg-inline--fa fa-chevron-down fa-w-14\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 448 512\" width=\"32\" height=\"32\"><path fill=\"currentColor\" d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div><\/span><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-222240f stk-block-accordion__content\" data-v=\"4\" data-block-id=\"222240f\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-222240f-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-222240f-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-2df871b\" data-block-id=\"2df871b\"><p class=\"stk-block-text__text\"><\/p><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Research<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>The research interests focus on geometric group theory, symplectic topology and contact topology. Some collaborators: M. Davis (Columbus), F. Haglund (Orsay), U. Bader (Weizmann), U. Oertel (Rutgers), J. K\u0119dra (Aberdeen) i G. Arzhantseva (ESI Wieden).<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Group<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Jan Dymara, Tadeusz Januszkiewicz, Jacek \u015awi\u0105tkowski, Tomasz Elsner, \u015awiatos\u0142aw Gal, Damian Osajda, Micha\u0142 Marcinkowski<\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-dc05ec2 is-style-default\" data-block-id=\"dc05ec2\">\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-d4f5838 stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"d4f5838\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-d4f5838-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-d4f5838-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-3b64b27\" data-block-id=\"3b64b27\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-d184b2e\" id=\"model-theory\" data-block-id=\"d184b2e\"><h4 class=\"stk-block-heading__text\">Model theory<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-e04f33c\" data-block-id=\"e04f33c\"><span class=\"stk--svg-wrapper\"><div class=\"stk--inner-svg\"><svg style=\"height:0;width:0\"><defs><linearGradient id=\"linear-gradient-e04f33c\" x1=\"0\" x2=\"100%\" y1=\"0\" y2=\"0\"><stop offset=\"0%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-e-04-f-33-c-color-1)\"><\/stop><stop offset=\"100%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-e-04-f-33-c-color-2)\"><\/stop><\/linearGradient><\/defs><\/svg><svg aria-hidden=\"true\" data-prefix=\"fas\" data-icon=\"chevron-down\" class=\"svg-inline--fa fa-chevron-down fa-w-14\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 448 512\" width=\"32\" height=\"32\"><path fill=\"currentColor\" d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div><\/span><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-a524dc4 stk-block-accordion__content\" data-v=\"4\" data-block-id=\"a524dc4\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-a524dc4-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-a524dc4-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-54f9404\" data-block-id=\"54f9404\"><p class=\"stk-block-text__text\"><\/p><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Research<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>The research interests of this group focus on classical and algebraic model theory, with applications to differential algebra, and o-minimality. There is a close collaboration with researchers in Notre Dame (A. Pillay, S. Starchenko), Lyonem (F. Wagner, I. Ben-Yaacov), Jerozolim\u0105 (E. Hrushovski, I. Kaplan), Berkeley (P.Simon) i Los Angeles (A. Chernikov).<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>G<\/strong>roup<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Jan Dobrowolski, Grzegorz Jagiella, Jakub Gismatullin, Piotr Kowalski, Krzysztof Krupi\u0144ski, Nadav Meir, Ludomir Newelski, Tomasz Rzepecki, Aleksandra Wencel<\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-ae5b95f is-style-default\" data-block-id=\"ae5b95f\"><style>.stk-ae5b95f{margin-bottom:28px !important}<\/style>\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-a696da2 stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"a696da2\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-a696da2-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-a696da2-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-77bf4e0\" data-block-id=\"77bf4e0\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-c0f20cf\" id=\"topology-and-set-theory\" data-block-id=\"c0f20cf\"><h4 class=\"stk-block-heading__text\">Topology and set theory<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-fa2eff3\" data-block-id=\"fa2eff3\"><span class=\"stk--svg-wrapper\"><div class=\"stk--inner-svg\"><svg style=\"height:0;width:0\"><defs><linearGradient id=\"linear-gradient-fa2eff3\" x1=\"0\" x2=\"100%\" y1=\"0\" y2=\"0\"><stop offset=\"0%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-fa-2-eff-3-color-1)\"><\/stop><stop offset=\"100%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-fa-2-eff-3-color-2)\"><\/stop><\/linearGradient><\/defs><\/svg><svg aria-hidden=\"true\" data-prefix=\"fas\" data-icon=\"chevron-down\" class=\"svg-inline--fa fa-chevron-down fa-w-14\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 448 512\" width=\"32\" height=\"32\"><path fill=\"currentColor\" d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div><\/span><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-c694409 stk-block-accordion__content\" data-v=\"4\" data-block-id=\"c694409\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-c694409-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-c694409-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-14a293c\" data-block-id=\"14a293c\"><p class=\"stk-block-text__text\"><\/p><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Research<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>The research interests contain Banach space theory, forcing axioms, descriptive set theory, continuum theory and applications of infinitary combinatorics in topology, functional analysis and measure theory. Some collaborators:&nbsp; Antonio Aviles (Uniwerystet w Murcii), Mirna D\u017camonja, David Chodounsky (Czeska Akademia Nauk), Barnabas Farkas (Politechnika Wiede\u0144ska), Witold Marciszewski (Uniwersytet Warszawski), Damian Sobota (Uniwersytet Wiede\u0144ski).<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>G<\/strong>roup<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Arturo Martinez-Celis, Piotr Borodulin-Nadzieja, Sebastian Jachimek, Maciej Korpalski, Jan Kraszewski, Aleksandra Kwiatkowska, Krzysztof Omijlanowski, Janusz Pawlikowski (emerytowany), Grzegorz Plebanek, Tomasz \u017buchowski<\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-3eaa063 is-style-default\" data-block-id=\"3eaa063\">\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-16d7e5d stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"16d7e5d\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-16d7e5d-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-16d7e5d-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-ef5a305\" data-block-id=\"ef5a305\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-2121aa1\" id=\"statistics\" data-block-id=\"2121aa1\"><h4 class=\"stk-block-heading__text\">Statistics<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-3ccea2f\" data-block-id=\"3ccea2f\"><span class=\"stk--svg-wrapper\"><div class=\"stk--inner-svg\"><svg style=\"height:0;width:0\"><defs><linearGradient id=\"linear-gradient-3ccea2f\" x1=\"0\" x2=\"100%\" y1=\"0\" y2=\"0\"><stop offset=\"0%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-3-ccea-2-f-color-1)\"><\/stop><stop offset=\"100%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-3-ccea-2-f-color-2)\"><\/stop><\/linearGradient><\/defs><\/svg><svg data-prefix=\"fas\" data-icon=\"chevron-down\" class=\"svg-inline--fa fa-chevron-down fa-w-14\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 448 512\" aria-hidden=\"true\" width=\"32\" height=\"32\"><path fill=\"currentColor\" d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div><\/span><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-e1a7dd9 stk-block-accordion__content\" data-v=\"4\" data-block-id=\"e1a7dd9\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-e1a7dd9-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-e1a7dd9-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-c950507\" data-block-id=\"c950507\"><p class=\"stk-block-text__text\"><\/p><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Research<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Zak\u0142ad statystyki prowadzi badania w zakresie statystyki matematycznej i<br>stosowanej.<br>W szczeg\u00f3lno\u015bci grupa zajmuje si\u0119 konstrukcj\u0105 i analiz\u0105 w\u0142asno\u015bci algorytm\u00f3w do analizy wielowymiarowych zbior\u00f3w danych a tak\u017ce zastosowaniami tych algorytm\u00f3w w biologii, medycynie, genetyce, astronomii i analizie finansowej. Ponadto prowadzone s\u0105 badania w dziedzinie teorii testowania hipotez obejmuj\u0105ce konstrukcje i analiz\u0119 w\u0142asno\u015bci nowych test\u00f3w dla wa\u017cnych problem\u00f3w praktycznych a tak\u017ce w teorii proces\u00f3w Markowa, teorii szereg\u00f3w czasowych oraz teorii s\u0142abej zbie\u017cno\u015bci. Zesp\u00f3\u0142 wsp\u00f3\u0142pracuje z czo\u0142owymi naukowcami z USA (Stanford, MIT, Harvard, University of Chicago, University of Pennsylvania, Columbia University), Europy (Lund University, University of Montpellier) i Izraela (Tel Aviv University, Hebrew University in Jerusalem) a tak\u017ce z naukowcami z innych o\u015brodk\u00f3w w Polsce (UW, PW, UMK, PWr).<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p>Group<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Ma\u0142gorzata Bogdan, Krystyna Grzesiak, Micha\u0142 Kos, Mateusz Staniak, W\u0142adys\u0142aw Szczotka, Krzysztof Topolski, Grzegorz Wy\u0142upek, Ludmila Zaitseva<\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><strong><a name=\"cs\">Instytut Informatyki<\/a><\/strong><\/h2>\n\n\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-496837d is-style-default\" data-block-id=\"496837d\">\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-e64ad63 stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"e64ad63\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-e64ad63-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-e64ad63-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-6101ee6\" data-block-id=\"6101ee6\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-64a8830\" id=\"computational-intelligence\" data-block-id=\"64a8830\"><h4 class=\"stk-block-heading__text\">Computational Intelligence<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-ee74ad1\" data-block-id=\"ee74ad1\"><span class=\"stk--svg-wrapper\"><div class=\"stk--inner-svg\"><svg style=\"height:0;width:0\"><defs><linearGradient id=\"linear-gradient-ee74ad1\" x1=\"0\" x2=\"100%\" y1=\"0\" y2=\"0\"><stop offset=\"0%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-ee-74-ad-1-color-1)\"><\/stop><stop offset=\"100%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-ee-74-ad-1-color-2)\"><\/stop><\/linearGradient><\/defs><\/svg><svg data-prefix=\"fas\" data-icon=\"chevron-down\" class=\"svg-inline--fa fa-chevron-down fa-w-14\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 448 512\" aria-hidden=\"true\" width=\"32\" height=\"32\"><path fill=\"currentColor\" d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div><\/span><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-e7de11f stk-block-accordion__content\" data-v=\"4\" data-block-id=\"e7de11f\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-e7de11f-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-e7de11f-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-ef913fa\" data-block-id=\"ef913fa\"><p class=\"stk-block-text__text\"><\/p><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Research<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Computational Intelligence Research Group is a part of the Institute of Computer Science of the University of Wroclaw. Our research focuses on intelligent approaches to data analysis and developing intelligent decision support systems. It especially concerns evolutionary algorithms and neural networks as well as natural language processing and text mining. Our recent contributions include evolutionary algorithms for multi-dimensional optimization problems with correlated variables, evolutionary algorithms for dynamic optimization problems, neural networks for learning understandable classifier models as well as recognizing, understanding and searching through spoken and written texts.<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>G<\/strong>roup<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>dr Jan Chorowski, mgr Patryk Filipiak, dr Pawe\u0142 Rychlikowski, dr Piotr Wnuk-Lipi\u0144ski<\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-1aa9545 is-style-default\" data-block-id=\"1aa9545\">\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-6a2fcf3 stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"6a2fcf3\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-6a2fcf3-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-6a2fcf3-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-384b034\" data-block-id=\"384b034\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-3e37260\" id=\"division-of-software-engineering\" data-block-id=\"3e37260\"><h4 class=\"stk-block-heading__text\">Division of software engineering<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-d0ec346\" data-block-id=\"d0ec346\"><span class=\"stk--svg-wrapper\"><div class=\"stk--inner-svg\"><svg style=\"height:0;width:0\"><defs><linearGradient id=\"linear-gradient-d0ec346\" x1=\"0\" x2=\"100%\" y1=\"0\" y2=\"0\"><stop offset=\"0%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-d-0-ec-346-color-1)\"><\/stop><stop offset=\"100%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-d-0-ec-346-color-2)\"><\/stop><\/linearGradient><\/defs><\/svg><svg data-prefix=\"fas\" data-icon=\"chevron-down\" class=\"svg-inline--fa fa-chevron-down fa-w-14\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 448 512\" aria-hidden=\"true\" width=\"32\" height=\"32\"><path fill=\"currentColor\" d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div><\/span><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-7bc0abb stk-block-accordion__content\" data-v=\"4\" data-block-id=\"7bc0abb\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-7bc0abb-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-7bc0abb-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-ecf29ba\" data-block-id=\"ecf29ba\"><p class=\"stk-block-text__text\"><\/p><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Research<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>The Division of Software Engineering deals with practical aspects of computer science. Among various scientific interests of the division staff are: programming languages: low-level programming, object-oriented programming, aspect-oriented programming, security policies, methods and tools of software development: enterprise platforms, frameworks, integrated IDEs, continuous integration &amp; delivery, software development: multitier and distributed software architecture, design patterns, architecture patterns, integration patterns, project management: principles for software management.<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Group<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>mgr Krystian Bac\u0142awski, dr in\u017c. Leszek Grocholski, dr Marcin M\u0142otkowski, mgr Zdzis\u0142aw P\u0142oski, mgr Pawe\u0142 Rzechonek, dr Wiktor Zychla<\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-a68a608 is-style-default\" data-block-id=\"a68a608\">\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-6ec900c stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"6ec900c\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-6ec900c-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-6ec900c-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-0c7e6a5\" data-block-id=\"0c7e6a5\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-7c4495f\" id=\"programming-languages\" data-block-id=\"7c4495f\"><h4 class=\"stk-block-heading__text\">Programming languages<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-cf7047a\" data-block-id=\"cf7047a\"><span class=\"stk--svg-wrapper\"><div class=\"stk--inner-svg\"><svg style=\"height:0;width:0\"><defs><linearGradient id=\"linear-gradient-cf7047a\" x1=\"0\" x2=\"100%\" y1=\"0\" y2=\"0\"><stop offset=\"0%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-cf-7047-a-color-1)\"><\/stop><stop offset=\"100%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-cf-7047-a-color-2)\"><\/stop><\/linearGradient><\/defs><\/svg><svg data-prefix=\"fas\" data-icon=\"chevron-down\" class=\"svg-inline--fa fa-chevron-down fa-w-14\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 448 512\" aria-hidden=\"true\" width=\"32\" height=\"32\"><path fill=\"currentColor\" d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div><\/span><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-1df22eb stk-block-accordion__content\" data-v=\"4\" data-block-id=\"1df22eb\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-1df22eb-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-1df22eb-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-06c8eaf\" data-block-id=\"06c8eaf\"><p class=\"stk-block-text__text\"><\/p><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Research<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Programming Languages Group focuses on formal semantics of programming languages and theoretical foundations of programming languages with special regard to:<br>* functional languages,<br>* Curry-Howard isomorphism,<br>* formal proofs,<br>* logical systems.<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Group<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>dr Ma\u0142gorzata Biernacka, dr hab. Dariusz Biernacki, prof. Witold Charatonik (kierownik zak\u0142adu), dr Antoni Ko\u015bcielski, dr Marek Materzok, dr hab. Jean-Marie de Nivelle, dr Maciej Pir\u00f3g, dr Filip Sieczkowski, dr Tomasz Truderung, mgr in\u017c. Tomasz Wierzbicki<\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-a0a8a02 is-style-default\" data-block-id=\"a0a8a02\">\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-7f40734 stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"7f40734\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-7f40734-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-7f40734-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-1ffd6ea\" data-block-id=\"1ffd6ea\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-9d4490a\" id=\"numerical-analysis\" data-block-id=\"9d4490a\"><h4 class=\"stk-block-heading__text\">Numerical analysis<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-2c56051\" data-block-id=\"2c56051\"><span class=\"stk--svg-wrapper\"><div class=\"stk--inner-svg\"><svg style=\"height:0;width:0\"><defs><linearGradient id=\"linear-gradient-2c56051\" x1=\"0\" x2=\"100%\" y1=\"0\" y2=\"0\"><stop offset=\"0%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-2-c-56051-color-1)\"><\/stop><stop offset=\"100%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-2-c-56051-color-2)\"><\/stop><\/linearGradient><\/defs><\/svg><svg data-prefix=\"fas\" data-icon=\"chevron-down\" class=\"svg-inline--fa fa-chevron-down fa-w-14\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 448 512\" aria-hidden=\"true\" width=\"32\" height=\"32\"><path fill=\"currentColor\" d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div><\/span><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-2fa8cdd stk-block-accordion__content\" data-v=\"4\" data-block-id=\"2fa8cdd\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-2fa8cdd-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-2fa8cdd-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-e0e3cab\" data-block-id=\"e0e3cab\"><p class=\"stk-block-text__text\"><\/p><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Research<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Numerical analysis group investigates theory and applications of computational methods. Research interests of the members include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>algorithms for curves and surfaces,<\/li>\n\n\n\n<li>dual bases,<\/li>\n\n\n\n<li>convergence acceleration,<\/li>\n\n\n\n<li>mathematical methods in computer graphics,<\/li>\n\n\n\n<li>optimalization methods,<\/li>\n\n\n\n<li>computational statistics,<\/li>\n\n\n\n<li>approximation theory,<\/li>\n\n\n\n<li>orthogonal polynomials and special function.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Group<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>dr hab. Anna Bartkowiak mgr Filip Chudy, dr Przemys\u0142aw Gospodarczyk, dr Witold Karczewski, prof. Stanis\u0142aw Lewandowicz, dr Rafa\u0142 Nowak, dr Pawe\u0142 Rajba, dr hab. Mieczys\u0142aw Wodecki, dr hab. Pawe\u0142 Wo\u017any (kierownik zak\u0142adu)<\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-364c08e is-style-default\" data-block-id=\"364c08e\">\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-8d7de00 stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"8d7de00\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-8d7de00-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-8d7de00-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-75997c0\" data-block-id=\"75997c0\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-5a31f2f\" id=\"combinatorial-optimization\" data-block-id=\"5a31f2f\"><h4 class=\"stk-block-heading__text\">Combinatorial optimization<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-5a3d099\" data-block-id=\"5a3d099\"><span class=\"stk--svg-wrapper\"><div class=\"stk--inner-svg\"><svg style=\"height:0;width:0\"><defs><linearGradient id=\"linear-gradient-5a3d099\" x1=\"0\" x2=\"100%\" y1=\"0\" y2=\"0\"><stop offset=\"0%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-5-a-3-d-099-color-1)\"><\/stop><stop offset=\"100%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-5-a-3-d-099-color-2)\"><\/stop><\/linearGradient><\/defs><\/svg><svg data-prefix=\"fas\" data-icon=\"chevron-down\" class=\"svg-inline--fa fa-chevron-down fa-w-14\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 448 512\" aria-hidden=\"true\" width=\"32\" height=\"32\"><path fill=\"currentColor\" d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div><\/span><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-9a34b2b stk-block-accordion__content\" data-v=\"4\" data-block-id=\"9a34b2b\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-9a34b2b-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-9a34b2b-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-0694b7f\" data-block-id=\"0694b7f\"><p class=\"stk-block-text__text\"><\/p><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Research<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-table\"><table><tbody><tr><td><br>The research of the Combinatorial Optimization Group focuses on discrete optimization problems arising in network design, scheduling, logistic and planning, and graph theory. We design efficient algorithms along with provable guarantees on the quality of constructed solutions. We apply and develop methods from different branches of mathematics and theoretical computer science, such as mathematical programming, combinatorics, and algorithm theory. Our areas of expertise include:<br>approximation algorithms for NP-hard graph problems<br>algorithms for travelling salesman problems<br>structure of graphs and matchings<br>online algorithms for scheduling problems<br>rounding linear programming relaxations<br>online algorithms for network problems<br>algorithmic game theory<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>G<\/strong>roup<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>dr hab. Marcin Bie\u0144kowski (kierownik zak\u0142adu), dr hab. Jaros\u0142aw Byrka, dr \u0141ukasz Je\u017c, dr Katarzyna Paluch, mgr Szymon Dudycz, mgr Pratik Ghosal, mgr Adam Kunysz, mgr Artur Kraska, mgr Mateusz Lewandowski, mgr Maciej Pacut, mgr Krzysztof Piecuch, mgr Pawe\u0142 Schmidt, mgr Krzysztof Sornat<\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-94c4f1a is-style-default\" data-block-id=\"94c4f1a\">\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-ab5d5c9 stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"ab5d5c9\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-ab5d5c9-container stk-hover-parent\"><div class=\"stk-block-content stk-inner-blocks stk-ab5d5c9-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-00d69c0\" data-block-id=\"00d69c0\"><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-371a9ac\" id=\"complexity-and-algorithms\" data-block-id=\"371a9ac\"><h4 class=\"stk-block-heading__text\">Complexity and algorithms<\/h4><\/div>\n\n\n\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-73d8f27\" data-block-id=\"73d8f27\"><span class=\"stk--svg-wrapper\"><div class=\"stk--inner-svg\"><svg style=\"height:0;width:0\"><defs><linearGradient id=\"linear-gradient-73d8f27\" x1=\"0\" x2=\"100%\" y1=\"0\" y2=\"0\"><stop offset=\"0%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-73-d-8-f-27-color-1)\"><\/stop><stop offset=\"100%\" style=\"stop-opacity:1;stop-color:var(--linear-gradient-73-d-8-f-27-color-2)\"><\/stop><\/linearGradient><\/defs><\/svg><svg data-prefix=\"fas\" data-icon=\"chevron-down\" class=\"svg-inline--fa fa-chevron-down fa-w-14\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 448 512\" aria-hidden=\"true\" width=\"32\" height=\"32\"><path fill=\"currentColor\" d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/div><\/span><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-f1407a3 stk-block-accordion__content\" data-v=\"4\" data-block-id=\"f1407a3\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-f1407a3-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-f1407a3-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-228e3ba\" data-block-id=\"228e3ba\"><p class=\"stk-block-text__text\"><\/p><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Research<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Complexity and algorithms group looks for effective algorithms solving various problems. Research interests of the members include::<br>* algorithms on words,<br>* information security,<br>* distributed computing,<br>* automata theory,<br>* computational complexity and formal languages.<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><strong>Group<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>mgr Wassim Al-Haddad, mgr Pawe\u0142 Garncarek, dr Pawe\u0142 Gawrychowski, mgr Micha\u0142 Ga\u0144czorz, dr hab. Artur Je\u017c, dr hab. Tomasz Jurdzi\u0144ski, mgr Micha\u0142 Karpi\u0144ski, prof. Krzysztof Lory\u015b (kierownik zak\u0142adu), mgr Krzysztof Nowicki, dr hab. Marek Piotr\u00f3w, mgr Micha\u0142 R\u00f3\u017ca\u0144ski, dr Grzegorz Stachowiak, dr Marek Szyku\u0142a<\/p>\n<\/div>\n<\/div>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Research Mathematics Harmonic analysis Research The research interests of the group concentrate on real analysis, harmonic analysis and applications of [&hellip;]<\/p>\n","protected":false},"author":4152,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[],"tags":[],"class_list":["post-39879","page","type-page","status-publish","hentry"],"featured_image_urls_v2":{"full":"","thumbnail":"","medium":"","medium_large":"","large":"","1536x1536":"","2048x2048":"","menu-24x24":"","menu-36x36":"","menu-48x48":""},"post_excerpt_stackable_v2":"<p>Research Mathematics Computer Science Mathematics Harmonic analysis Research The research interests of the group concentrate on real analysis, harmonic analysis and applications of analysis in probability theory. The probabilistic researches concern stochastic equations, branching processes and branching random walks. The analytic studies focus on discrete harmonic analysis, analytic number theory, real analysis on Lie groups and spaces of homogenuous type, LIttlewood-Paley theory, singular and oscillating integrals, functional spaces and orthogonal polynomials. Collaborators: G. Alsmeyer (Muenster), J.P. Anker (Orleans), Viktor Bezborodov (Bielefeld ), A. Bhattacharya (Indian Institute of Technology), S. Brofferio (Paris Orsay), N. Gantert (Technische Universit\u00e4t M\u00fcnchen), A. Iksanov (Kiev),&hellip;<\/p>\n","category_list_v2":"Uncategorized","author_info_v2":{"name":"pborodulinnadzieja","url":"https:\/\/wmi.uwr.edu.pl\/en\/author\/pborodulinnadzieja\/"},"comments_num_v2":"0 comments","acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Research - Wydzia\u0142 Matematyki i Informatyki<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/wmi.uwr.edu.pl\/en\/english-research\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Research - Wydzia\u0142 Matematyki i Informatyki\" \/>\n<meta property=\"og:description\" content=\"Research Mathematics Harmonic analysis Research The research interests of the group concentrate on real analysis, harmonic analysis and applications of [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wmi.uwr.edu.pl\/en\/english-research\/\" \/>\n<meta property=\"og:site_name\" content=\"Wydzia\u0142 Matematyki i Informatyki\" \/>\n<meta property=\"article:modified_time\" content=\"2023-12-18T15:41:10+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/wmi.uwr.edu.pl\/wp-content\/uploads\/sites\/288\/2023\/04\/Kopia-_MG_2862-1-1024x683.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"11 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/wmi.uwr.edu.pl\/en\/english-research\/\",\"url\":\"https:\/\/wmi.uwr.edu.pl\/en\/english-research\/\",\"name\":\"Research - 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