Yuval Peres

Mathematical open problems

This page is devoted to open problems in probability, analysis and computing that I have encountered over the years, which are still unsolved (to the best of my knowledge). If you know solutions to these problems, or have ideas on how to attack them, please write to me at yuval@yuvalperes.com

About Yuval Peres

Yuval Peres is a Professor of Mathematics at the Beijing Institute of Mathematical Sciences and Applications (BIMSA).

He works in probability theory, analysis, combinatorics and computer science. He has co-authored books on Markov chains, Brownian notion, Fractals, Probability on graphs and game theory. His most cited research includes papers relating game theory to PDE, analyzing cover time and mixing time of random walks, broadcasting on trees, Bernoulli convolutions and related fractals, and uniform spanning trees. 

He has published five papers in the Annals of Mathematics (see https://annals.math.princeton.edu). He has more than 200 coauthors, including two fields medalists, and recipients of the Abel prize and the Shaw prize.

Recent Open Problems