Longmin Wang

activity

20112023

most citedUniqueness of Stable Processes with Drift

6 citations · 20 across the 13 of their papers we have counts for

collaborators

13 papers

math.GR2023

The growth of the Green function for random walks and Poincar{é} series

Matthieu Dussaule, Wenyuan Yang, Longmin Wang

Given a probability measure $μ$ on a finitely generated group $Γ$ , the Green function $G (x, y ∣ r)$ encodes many properties of the random walk associated with $μ$ . Finding asymptotics…

math.PR2022★ 1 cited

Branching Random Walks on relatively hyperbolic groups

Matthieu Dussaule, Longmin Wang, Wenyuan Yang

Let $Γ$ be a non-elementary relatively hyperbolic group with a finite generating set. Consider a finitely supported admissible and symmetric probability measure $μ$ on $Γ$ and a pr…

math.PR2021

Yaglom limit for unimodal Lévy processes

Gavin Armstrong, Krzysztof Bogdan, Tomasz Grzywny +2

We prove universality of the Yaglom limit of Lipschitz cones among all unimodal Lévy processes sufficiently close to the isotropic $α$ -stable Lévy process.

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…

math.PR2019★ 3 cited

Extremes of Vector-Valued Gaussian Processes

Krzysztof Dȩbicki, Enkelejd Hashorva, Longmin Wang

The seminal papers of Pickands [1,2] paved the way for a systematic study of high exceedance probabilities of both stationary and non-stationary Gaussian processes. Yet, in the vec…

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 $Z^{d}, d \geq 1$ .