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

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…

Edge-averaging dynamics on finite graphs: moment dependence

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