Y. Peres

activity

20112026

most citedSeparating signal from noise

4 citations · 4 across the 10 of their papers we have counts for

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8 papers · 1 filter

math.PR2025

Survival probability in reactive gambling: monotonicity, singularity, and Hölder continuity

Aditya Guha Roy, Yuval Peres, Shuo Qin +1

A gambler starts with fortune $x$ and unit bet, then aims to double the bet after every win and halve it after every loss, while the actual bet is capped by the current fortune. Ea…

math.PR2025

Convergence rate of $ℓ^{p}$ -relaxation on a graph to a $p$ -harmonic function with given boundary values

Chenyu Gan, Yuval Peres, Junchi Zuo

We analyze the following dynamics on a connected graph $(V, E)$ with $n$ vertices. Let $V = I ⋃ B$ , where the set of interior vertices $I \neq = \emptyset$ is disjoint from the s…

math.PR2025

Convergence rate of $ℓ^{p}$ -energy minimization on graphs: sharp polynomial bounds and a phase transition at $p = 3$

Gideon Amir, Fedor Nazarov, Yuval Peres

We consider the following dynamics on a connected graph $(V, E)$ with $n$ vertices. Given $p > 1$ and an initial opinion profile $f_{0} : V \to [0, 1]$ , at each integer step $t \geq 1$ a un…

math.PR2024

Poisson genericity in numeration systems with exponentially mixing probabilities

Nicolás Álvarez, Verónica Becher, Eda Cesaratto +3

We define Poisson genericity for infinite sequences in any finite or countable alphabet with an invariant exponentially-mixing probability measure. A sequence is Poisson generic if…

math.PR2024

Speed of random walk on dynamical percolation in nonamenable transitive graphs

Chenlin Gu, Jianping Jiang, Yuval Peres +3

Let $G$ be a nonamenable transitive unimodular graph. In dynamical percolation, every edge in $G$ refreshes its status at rate $μ > 0$ , and following the refresh, each edge is open i…

math.PR2024

Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes

Chenlin Gu, Jianping Jiang, Yuval Peres +3

We study the random walk on dynamical percolation of $Z^{d}$ (resp., the two-dimensional triangular lattice $T$ ), where each edge (resp., each site) can be either…

Survival probability in reactive gambling: monotonicity, singularity, and Hölder continuity

Convergence rate of ℓp-relaxation on a graph to a p-harmonic function with given boundary values

Convergence rate of ℓp-energy minimization on graphs: sharp polynomial bounds and a phase transition at p=3

Poisson genericity in numeration systems with exponentially mixing probabilities

Speed of random walk on dynamical percolation in nonamenable transitive graphs

Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes

Convergence rate of $ℓ^{p}$ -relaxation on a graph to a $p$ -harmonic function with given boundary values

Convergence rate of $ℓ^{p}$ -energy minimization on graphs: sharp polynomial bounds and a phase transition at $p = 3$