Yuelin Liu

collaborators

2 papers

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.PR2018

The invariance principle and the large deviation for the biased random walk on $Z^{d}$

Yuelin Liu, Vladas Sidoravicius, Longmin Wang +1

In this paper, we establish the invariance principle and the large deviation for the biased random walk $R W_{λ}$ with $λ \in [0, 1)$ on $Z^{d}, d \geq 1$ .

Phase transition of disordered random networks on quasi-transitive graphs

The invariance principle and the large deviation for the biased random walk on Zd

The invariance principle and the large deviation for the biased random walk on $Z^{d}$