Note: No lecture on March 15.

The lecture on April 5 will be adjusted to April 7.

Introduction

The goal of this course is to assist Quizhen students working on their thesis problems with relevant background.
Following the suggestion of Hao Wu, the emphasis will be on random walks on random graphs arising from percolation. Other topics include transience of random walks on induced graphs arising from spanning trees.

Video Public: No

Notes Public: No

Audience: Graduate

Language: English

Lecturer Intro

Yuval Peres obtained his PhD in 1990 from the Hebrew University, Jerusalem. He was a postdoctoral fellow at Stanford and Yale, and was then a Professor of Mathematics and Statistics in Jerusalem and in Berkeley. Later, he was a Principal researcher at Microsoft. Yuval has published more than 350 papers in most areas of probability theory, including random walks, Brownian motion, percolation, and random graphs. He has co-authored books on Markov chains, probability on graphs, game theory and Brownian motion, which can be found at https://www.yuval-peres-books.com. His presentations are available at https://yuval-peres-presentations.com. Dr. Peres is a recipient of the Rollo Davidson prize and the Loeve prize. He has mentored 21 PhD students including Elchanan Mossel (MIT, AMS fellow), Jian Ding (PKU, ICCM gold medal and Rollo Davidson prize), Balint Virag and Gabor Pete (Rollo Davidson prize).
Dr. Peres was an invited speaker at the 2002 International Congress of Mathematicians in Beijing, at the 2008 European congress of Math, and at the 2017 Math Congress of the Americas. In 2016, he was elected to the US National Academy of Science.

Website: https://bimsa.net/activity/TopicsProbability