Author

Y. Peres

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Preprint Sep 2026

Mixing time under monotone censoring

We prove that the lazy random walk on the discrete cube, censored to any increasing set of fixed positive density, mixes in time $O(n\log n)$, answering a question of Ding and Mossel. More precisely, for every nonempty increasing set $A\subseteq \{0,1\}^n$, \begin{equation} t_{\mathrm{mix}}(P) \le K\mu(A)^{-3}n\log(en)...

Yi-Ming Chen, Y. Peres · 0 citations

Preprint Jul 2026

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph

We prove that the stationary and worst-case expected meeting times of two independent continuous-time random walks on the largest component of the Erd\H{o}s-R\'enyi random graph $G(n,p)$ have order $n$ throughout the strictly supercritical, the slightly supercritical and the critical regimes. Using these bounds along w...

V. Koval, Y. Peres, Pieter Trapman · 1 citation