Y. Peres

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20242026

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5 papers · 1 filter

math.PR2025

How reactive gambling can backfire: ruin probability is increasing in $p$ , HÃ¶lder continuous in initial fortune

Aditya Guha Roy, Yuval Peres, Shuo Qin +1

A gambler with an initial fortune $x$ starts by betting a dollar, then doubles the bet after every win and halves the bet after every loss. Let $p \in (0, 1)$ be the probability of w…

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.PR2025

Poisson genericity in numeration systems with exponentially mixing probabilities

NicolÃ¡s Ãlvarez, VerÃ³nica 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

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…

How reactive gambling can backfire: ruin probability is increasing in p, HÃ¶lder continuous in initial fortune

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

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

How reactive gambling can backfire: ruin probability is increasing in $p$ , HÃ¶lder continuous in initial fortune

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 $p = 3$