Buongiorno a tutti,
Vorremmo segnalarvi che venerdì prossimo (19 Gennaio) alle ore 14:30 in aula 1BC50 (Torre Archimede, Università di Padova) ci sarà un seminario per il ciclo di seminari in Probabilità e Finanza di:
Francesco Pedrotti (Institute of Science and Technology Austria) https://sites.google.com/view/francescopedrotti/home-page?authuser=0 https://sites.google.com/view/francescopedrotti/home-page?authuser=0
Title: Contractive coupling rates and curvature lower bounds for reversible Markov chains
Date: January 19, 2024, at 14:30, room 1BC45
Abstract: Ricci curvature lower bounds for Riemannian manifolds have been linked to many functional inequalities: this has motivated the seminal independent works of Sturm and Lott and Villani, who extended the notion of curvature lower bound and many of its consequences to a large class of metric measure spaces. In spite of its generality, this theory does not apply to Markov chains on discrete spaces; for this reason, several adapted notions of curvature have been proposed, based on different equivalent characterizations of curvature of Riemannian manifolds. Different notions have different pros and cons: e.g., the entropic curvature of Erbar and Maas is hard to compute in some examples, while Olliviers coarse Ricci curvature is not known to imply a modified logarithmic Sobolev inequality. It is still an open problem to compare these notions. In the present work, adapting arguments of a recent article by Conforti, we show how contractive coupling rates (a concept naturally connected to Olliviers curvature) can be used to establish entropic curvature lower bounds for some examples of reversible Markov chains.
Vi aspettiamo numerosi!
Alberto Chiarini e Alekos Cecchin
Sito web del seminario: https://www.math.unipd.it/~chiarini/seminars/