{"id":15151,"date":"2024-09-23T10:55:42","date_gmt":"2024-09-23T14:55:42","guid":{"rendered":"https:\/\/www.crmath.ca\/centre-interuniversitaire-de-recherches-en-geometrie-et-topologie-2\/"},"modified":"2024-11-12T15:47:02","modified_gmt":"2024-11-12T20:47:02","slug":"probability-laboratory","status":"publish","type":"page","link":"https:\/\/www.crmath.ca\/en\/probability-laboratory\/","title":{"rendered":"Probability Laboratory"},"content":{"rendered":"<div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1420.64px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_2_3 2_3 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:66.666666666667%;--awb-margin-top-large:0px;--awb-spacing-right-large:2.88%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:2.88%;--awb-width-medium:66.666666666667%;--awb-order-medium:0;--awb-spacing-right-medium:2.88%;--awb-spacing-left-medium:2.88%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-1\"><h1 class=\"entry-title\">About<\/h1>\n<p class=\"x_MsoNormal\"><span data-olk-copy-source=\"MessageBody\">Probability theory is the study of uncertainty and randomness. The research activities of the members of the Probability laboratory cover a wide spectrum of probability, from fundamental aspects to modeling applications in fields such as physics, biology, finance, actuarial science, and machine learning. Our research often intersects with other mathematical domains, including analysis, combinatorics, geometry, and linear algebra, fostering innovative fields of study and complex models.<\/span><\/p>\n<p class=\"x_MsoNormal\">The CRM Probability Laboratory is composed of around\u00a012 permanent members,\u00a0all professors from various CRM&#8217;s partner universities.\u00a0They work on a wide range of modern probability research topics, including<\/p>\n<ul type=\"disc\">\n<li class=\"x_MsoNormal\"><b>Stochastic processes<\/b>: Studying theoretical and applied aspects of processes such as Markov chains, L\u00e9vy processes, piecewise deterministic Markov processes.<\/li>\n<li class=\"x_MsoNormal\"><b>Interacting particle systems<\/b>: Investigating the dynamics of systems composed of particles that interact with each other probabilistically.<\/li>\n<li class=\"x_MsoNormal\"><b>Random graphs and random walks<\/b>: Analyzing the properties and behaviors of graphs generated by random processes.<\/li>\n<li class=\"x_MsoNormal\"><b>Random matrices<\/b>: Studying their properties, and their applications in\u00a0mathematical physics\u00a0and machine learning.<\/li>\n<li class=\"x_MsoNormal\"><b>Stochastic analysis<\/b>: \u00a0Exploring mathematical models with random fluctuations, such as stochastic differential equations and stochastic partial differential equations.<\/li>\n<\/ul>\n<p class=\"x_MsoNormal\">The lab hosts several postdoctoral fellows, and its members supervise students at all levels: interns, master&#8217;s, and doctoral. A weekly seminar takes place from early September to the end of April, and scientific events are organized every year.<\/p>\n<div>\n<p class=\"x_MsoNormal\">\n<\/div>\n<\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_1_3 1_3 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:33.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:5.76%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:5.76%;--awb-width-medium:33.333333333333%;--awb-order-medium:0;--awb-spacing-right-medium:5.76%;--awb-spacing-left-medium:5.76%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-flip-boxes flip-boxes row fusion-columns-1 flip-effect-classic\"><div class=\"fusion-flip-box-wrapper fusion-column col-lg-12 col-md-12 col-sm-12\"><div class=\"fusion-flip-box flip-right\" tabindex=\"0\"><div class=\"flip-box-inner-wrapper\"><div class=\"flip-box-front\" style=\"--awb-border-size:1px;--awb-background-color-front:var(--awb-custom16);--awb-text-front-color:var(--awb-color3);\"><div class=\"flip-box-front-inner\"><h2 class=\"flip-box-heading without-text\">ABOUT<\/h2><\/div><\/div><div class=\"flip-box-back\" style=\"--awb-border-size:1px;--awb-background-color-back:var(--awb-color5);\"><div class=\"flip-box-back-inner\"><div style=\"text-align:center;\"><a class=\"fusion-button button-flat button-small button-custom fusion-button-default button-1 fusion-button-default-span fusion-button-default-type\" style=\"--button_accent_color:#462769;--button_accent_hover_color:#462769;--button_border_hover_color:var(--awb-color1);--button_gradient_top_color:#ffffff;--button_gradient_bottom_color:#ffffff;--button_gradient_top_color_hover:rgba(255,255,255,0.22);--button_gradient_bottom_color_hover:rgba(255,255,255,0.22);\" target=\"_self\" href=\"https:\/\/www.crmath.ca\/en\/probability-laboratory\/\"><span class=\"fusion-button-text awb-button__text awb-button__text--default\">ABOUT<\/span><\/a><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-flip-box-wrapper fusion-column col-lg-12 col-md-12 col-sm-12\"><div class=\"fusion-flip-box flip-right\" tabindex=\"0\"><div class=\"flip-box-inner-wrapper\"><div class=\"flip-box-front\" style=\"--awb-border-size:1px;--awb-background-color-front:var(--awb-custom16);--awb-text-front-color:var(--awb-color3);\"><div class=\"flip-box-front-inner\"><h2 class=\"flip-box-heading without-text\">MEMBERS<\/h2><\/div><\/div><div class=\"flip-box-back\" style=\"--awb-border-size:1px;--awb-background-color-back:var(--awb-color5);\"><div class=\"flip-box-back-inner\"><div style=\"text-align:center;\"><a class=\"fusion-button button-flat button-small button-custom fusion-button-default button-2 fusion-button-default-span fusion-button-default-type\" style=\"--button_accent_color:#462769;--button_accent_hover_color:#462769;--button_border_hover_color:var(--awb-color1);--button_gradient_top_color:#ffffff;--button_gradient_bottom_color:#ffffff;--button_gradient_top_color_hover:rgba(255,255,255,0.22);--button_gradient_bottom_color_hover:rgba(255,255,255,0.22);\" target=\"_self\" href=\"https:\/\/www.crmath.ca\/en\/probability-laboratory\/members-laboratory\/\"><span class=\"fusion-button-text awb-button__text awb-button__text--default\">MEMBERS<\/span><\/a><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-flip-box-wrapper fusion-column col-lg-12 col-md-12 col-sm-12\"><div class=\"fusion-flip-box flip-right\" tabindex=\"0\"><div class=\"flip-box-inner-wrapper\"><div class=\"flip-box-front\" style=\"--awb-border-size:1px;--awb-background-color-front:var(--awb-custom16);--awb-text-front-color:var(--awb-color3);\"><div class=\"flip-box-front-inner\"><h2 class=\"flip-box-heading without-text\">SEMINARS<\/h2><\/div><\/div><div class=\"flip-box-back\" style=\"--awb-border-size:1px;--awb-background-color-back:var(--awb-color5);\"><div class=\"flip-box-back-inner\"><div style=\"text-align:center;\"><a class=\"fusion-button button-flat button-small button-custom fusion-button-default button-3 fusion-button-default-span fusion-button-default-type\" style=\"--button_accent_color:#462769;--button_accent_hover_color:#462769;--button_border_hover_color:var(--awb-color1);--button_gradient_top_color:#ffffff;--button_gradient_bottom_color:#ffffff;--button_gradient_top_color_hover:rgba(255,255,255,0.22);--button_gradient_bottom_color_hover:rgba(255,255,255,0.22);\" target=\"_self\" href=\"https:\/\/www.crmath.ca\/en\/probability-laboratory\/probability-laboratory-seminars\/\"><span class=\"fusion-button-text awb-button__text awb-button__text--default\">SEMINARS<\/span><\/a><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-flip-box-wrapper fusion-column col-lg-12 col-md-12 col-sm-12\"><div class=\"fusion-flip-box flip-right\" tabindex=\"0\"><div class=\"flip-box-inner-wrapper\"><div class=\"flip-box-front\" style=\"--awb-border-size:1px;--awb-background-color-front:var(--awb-custom16);--awb-text-front-color:var(--awb-color3);\"><div class=\"flip-box-front-inner\"><h2 class=\"flip-box-heading without-text\">CONTACT<\/h2><\/div><\/div><div class=\"flip-box-back\" style=\"--awb-border-size:1px;--awb-background-color-back:var(--awb-color5);\"><div class=\"flip-box-back-inner\"><div style=\"text-align:center;\"><a class=\"fusion-button button-flat button-small button-custom fusion-button-default button-4 fusion-button-default-span fusion-button-default-type\" style=\"--button_accent_color:#462769;--button_accent_hover_color:#462769;--button_border_hover_color:var(--awb-color1);--button_gradient_top_color:#ffffff;--button_gradient_bottom_color:#ffffff;--button_gradient_top_color_hover:rgba(255,255,255,0.22);--button_gradient_bottom_color_hover:rgba(255,255,255,0.22);\" target=\"_self\" href=\"https:\/\/www.crmath.ca\/en\/probability-laboratory\/probability-laboratory-contact\/\"><span class=\"fusion-button-text awb-button__text awb-button__text--default\">CONTACT<\/span><\/a><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-15151","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.crmath.ca\/en\/wp-json\/wp\/v2\/pages\/15151","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.crmath.ca\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.crmath.ca\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.crmath.ca\/en\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.crmath.ca\/en\/wp-json\/wp\/v2\/comments?post=15151"}],"version-history":[{"count":8,"href":"https:\/\/www.crmath.ca\/en\/wp-json\/wp\/v2\/pages\/15151\/revisions"}],"predecessor-version":[{"id":15999,"href":"https:\/\/www.crmath.ca\/en\/wp-json\/wp\/v2\/pages\/15151\/revisions\/15999"}],"wp:attachment":[{"href":"https:\/\/www.crmath.ca\/en\/wp-json\/wp\/v2\/media?parent=15151"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}