{"id":1906,"date":"2026-03-16T22:37:57","date_gmt":"2026-03-16T21:37:57","guid":{"rendered":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/?page_id=1906"},"modified":"2026-05-13T13:53:34","modified_gmt":"2026-05-13T11:53:34","slug":"special-session-21","status":"publish","type":"page","link":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/special-sessions\/special-session-21\/","title":{"rendered":"Special Session 21 &#8211; Probability and Statistical Mechanics"},"content":{"rendered":"<section  class='av_textblock_section av-mms7qkau-d2bee843739779d296e80822fec19f0d '   itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/CreativeWork\" ><div class='avia_textblock'  itemprop=\"text\" ><h1><span style=\"color: #000000;\">Special Session 21<\/span><\/h1>\n<h2><span style=\"color: #000000;\">Probability and Statistical Mechanics<\/span><\/h2>\n<p><span style=\"color: #000000;\"><strong>Organizers:<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">Alessandra Bianchi (University of Padua, Italy),<\/span><\/li>\n<li><span style=\"color: #000000;\">Alessandra Faggionato (University of Rome &#8220;La Sapienza&#8221;, Italy),<\/span><\/li>\n<li><span style=\"color: #000000;\">Hubert Lacoin (IMPA, Brazil)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>MSC codes:<\/strong> 60K35, 82CXX, 60FXX<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>Description:<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">The goal of the proposed session is to present recent developments in the field of interacting particle systems and disorder systems, with emphasis on the derivation of macroscopic limits and behavior, and on the characterization of critical phenomena. By gathering contributions across probability theory and statistical mechanics, the session aims to highlight the interplay between randomness, interaction, and geometry, and to shed light on the emergence of macroscopic collective phenomena and on the universality of certain scaling limits. In this general framework, a central problem concerns the characterization of the behavior of random dynamics in inhomogeneous or disordered environments, where random structures interact non-trivially with the evolution of the system. Phenomena such as localization, anomalous transport and metastability, arise naturally in these stochastic dynamics, and examples include random conductance systems, random polymers, interacting particle systems on random structure, and stochastic interface dynamics. A common central objective in all these systems is the derivation and characterization of a large-scale behavior which encodes universal features of the underlying stochastic evolution. Tools such as entropy and relative entropy methods, large deviation techniques, coupling constructions and martingale approaches, have been developed in order to control rare events and establish convergence to a proper scaling limit. The invited speakers will enter into the subject by presenting new analytical tools, rigorous results, and open problems that drive the current research on the area of random interacting dynamics.<\/span><\/p>\n<p><strong>Speakers:<\/strong><\/p>\n<ul>\n<li><span style=\"color: #000000;\">Luca Avena, University of Florence (Italy)<\/span><\/li>\n<li><span style=\"color: #000000;\">Rangel Baldasso, Pontifical Catholic University of Rio de Janeiro (Brazil)<\/span><\/li>\n<li><span style=\"color: #000000;\">Rodrigo Bissacot, University of S\u00e3o Paulo (Brazil)<\/span><\/li>\n<li><span style=\"color: #000000;\">Leandro Chiarini, University of S\u00e3o Paulo (Brazil)<\/span><\/li>\n<li><span style=\"color: #000000;\">Dirk Erhard, Federal University of Bahia (Brazil)<\/span><\/li>\n<li><span style=\"color: #000000;\">Chiara Franceschini, University of Modena e Reggio Emilia (Italy)<\/span><\/li>\n<li><span style=\"color: #000000;\">Milton Jara, National Institute for Pure and Applied Mathematics (Brazil)<\/span><\/li>\n<li><span style=\"color: #000000;\">Renato Santos, Federal University of Minas Gerais (Brazil)<\/span><\/li>\n<li><span style=\"color: #000000;\">Federico Sau, University of Milan (Italy)<\/span><\/li>\n<li><span style=\"color: #000000;\">Vittoria Silvestri, Sapienza University of Rome (Italy)<\/span><\/li>\n<li><span style=\"color: #000000;\">Daniel Valesin, University of Warwick (United Kingdom)<\/span><\/li>\n<li><span style=\"color: #000000;\">Lu Xu, Gran Sasso Science Institute (Italy)<\/span><\/li>\n<\/ul>\n<\/div><\/section>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":6,"featured_media":0,"parent":210,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1906","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/1906","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/comments?post=1906"}],"version-history":[{"count":6,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/1906\/revisions"}],"predecessor-version":[{"id":2328,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/1906\/revisions\/2328"}],"up":[{"embeddable":true,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/210"}],"wp:attachment":[{"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/media?parent=1906"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}