517 citations · 2.8k across the 215 of their papers we have counts for
261 papers
Maximal volume of convex bodies avoiding random points and lacunary dilates
Yuval Peres, Bohan Yang
For a positive real lacunary sequence and any probability measure with polynomial Fourier decay, we determine, for -almost every , the asymptotic maximal volume of convex…
Mixing time under monotone censoring
Yiming Chen, Yuval Peres
We prove that the lazy random walk on the discrete cube, censored to any increasing set of fixed positive density, mixes in time , answering a question of Ding and Moss…
Meeting and coalescence times for random walks in the largest component of the Erdős-Rényi random graph
Vyacheslav Koval, Yuval Peres, Pieter Trapman
We prove that the stationary and worst-case expected meeting times of two independent continuous-time random walks on the largest component of the Erdős-Rényi random graph …
Maximal Gaps for Dilated Lacunary Integer Sequences
Yuval Peres, Bohan Yang
Let \((a_n)_{n\ge1}\subset\mathbb{N}\) be a lacunary sequence, \(a_{n+1}\ge q a_n\) for \(q>1\). For \(x\in\mathbb{T}\), we study the maximal empty circular gap \(G_N(x)\) of the f…
A local central limit theorem for random walks on expander graphs
Rafael Chiclana, Yuval Peres
There is a long history of establishing central limit theorems for Markov chains. Quantitative bounds for chains with a spectral gap were proved by Mann and refined later. Recently…
The Asynchronous DeGroot Dynamics
Dor Elboim, Yuval Peres, Ron Peretz
We analyze the asynchronous version of the DeGroot dynamics: In a connected graph with nodes, each node has an initial opinion in and an independent Poisson clock.…