Kainan Xiang

activity

20122022

most citedLocality of percolation critical probabilities: uniformly nonamenable case

4 citations · 13 across the 10 of their papers we have counts for

collaborators

Showing 2020 · math.PRShow all

2 papers · 2 filters

math.PR2020

Phase transition of disordered random networks on quasi-transitive graphs

Yuelin Liu, Kainan Xiang

Given a quasi-transitive infinite graph $G$ with volume growth rate $gr (G),$ a transient biased electric network $(G, c_{1})$ with bias $λ_{1} \in (0, gr (G))$ and a recur…

math.PR2020★ 2 cited

Limit set of branching random walks on hyperbolic groups

Vladas Sidoravicius, Longmin Wang, Kainan Xiang

Let $Γ$ be a nonelementary hyperbolic group with a word metric $d$ and $\partial Γ$ its hyperbolic boundary equipped with a visual metric $d_{a}$ for some parameter $a > 1$ . Fix a super…