Junchi Zuo

collaborators

3 papers

math.PR2026

Edge-averaging dynamics on finite graphs: moment dependence

Junchi Zuo

We study the edge-averaging process on a finite, connected graph $G = (V, E)$ . Initially, the vertices in $V$ are endowed with i.i.d.\ real-valued opinions $(f_{0} (v))_{v \in V}$ . Ed…

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…

Edge-averaging dynamics on finite graphs: moment dependence

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

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