Yuval Peres

activity

20032015

most citedRigidity and tolerance for perturbed lattices

21 citations · 48 across the 12 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.PR2014★ 21 cited

Rigidity and tolerance for perturbed lattices

Yuval Peres, Allan Sly

A perturbed lattice is a point process $Π = {x + Y_{x} : x \in Z^{d}}$ where the lattice points in $Z^{d}$ are perturbed by i.i.d.\ random variables $\{Y_x\}_{x\in \mathbb{Z…

math.PR2014

Surprise probabilities in Markov chains

James Norris, Yuval Peres, Alex Zhai

In a Markov chain started at a state $x$ , the hitting time $τ (y)$ is the first time that the chain reaches another state $y$ . We study the probability $P_{x} (τ (y) = t)$ that…