Y. Peres

activity

20242026

collaborators

7 papers

math.DS2026

Edit distance exponents for irrational rotations

Andrew Best, Yuval Peres

We study quantitative edit-distance asymptotics for symbolic codings of irrational rotations $x \mapsto x + α$ on $T$ in terms of the irrationality exponent $μ (α)$ , the supr…

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.CO2025

Edit distance in substitution systems

Andrew Best, Yuval Peres

Let $I ¨ $ be a primitive substitution on an alphabet $A$ , and let $W_{n}$ be the set of words of length $n$ determined by $I ¨ $ (i.e., $w \in W_{n}$ if $w$ …

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…

Edit distance exponents for irrational rotations

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

Edit distance in substitution systems

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

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 $p = 3$