Random walks on locally free groups and their applications
演讲者
Sergei Nechaev
时间
2025年03月14日 13:00 至 14:30
地点
A3-4-301
线上
Zoom 242 742 6089
(BIMSA)
摘要
We consider some enumerative problems, such as estimation of growth of words in braid groups, enumeration of heaps of pieces, statistics of 1D TASEP using the "Mikado" algorithm of word counting in locally free groups. We discuss also the statistics of conditional Brownian bridges on groups in connection with problems of "probabilistic topology".
演讲者介绍
I graduated in 1985 from the Department of Physics at Moscow State University. From 1991 to 2007, I was affiliated with the Landau Institute for Theoretical Physics.
Since 2008, I have been working in France, where I currently hold the position of Director of Research at CNRS (National Center for Scientific Research, France). I am based at the LPTMS (Laboratory of Theoretical Physics and Statistical Models), a laboratory affiliated with both CNRS and the University of Paris-Saclay (https://www.lptms.universite-paris-saclay.fr/).
From 2015 to 2022, I served as the Director of the Interdisciplinary Scientific Center Poncelet, an International Research Laboratory of CNRS, located at the Independent University of Moscow (Moscow, Russia).
I have authored more than 140 scientific publications in Web of Science journals. My current scientific interests are systematized below, where the list of main publications is presented. These publications constitute the core of references related to the course “Statistics and Topology of Random Paths”.