Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Wang Longmin"'
Consider a transient symmetric branching random walk (BRW) on a free group $\mathbb{F}$ indexed by a Galton-Watson tree $\mathcal{T}$ without leaves. The limit set $\Lambda$ is defined as the random subset of $\partial \mathbb{F}$ (the boundary of $\
Externí odkaz:
http://arxiv.org/abs/2409.01346
Given a probability measure $\mu$ on a finitely generated group $\Gamma$, the Green function $G(x,y|r)$ encodes many properties of the random walk associated with $\mu$. Finding asymptotics of $G(x,y|r)$ as $y$ goes to infinity is a common thread in
Externí odkaz:
http://arxiv.org/abs/2307.10662
Let $\Gamma$ be a non-elementary relatively hyperbolic group with a finite generating set. Consider a finitely supported admissible and symmetric probability measure $\mu$ on $\Gamma$ and a probability measure $\nu$ on $\mathbb{N}$ with mean $r$. Let
Externí odkaz:
http://arxiv.org/abs/2211.07213
We prove universality of the Yaglom limit of Lipschitz cones among all unimodal L\'{e}vy processes sufficiently close to the isotropic $\alpha$-stable L\'{e}vy process.
Comment: 36 pages, 1 figure
Comment: 36 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2110.00873
Let $\Gamma$ be a nonelementary hyperbolic group with a word metric $d$ and $\partial\Gamma$ its hyperbolic boundary equipped with a visual metric $d_a$ for some parameter $a>1$. Fix a superexponential symmetric probability $\mu$ on $\Gamma$ whose su
Externí odkaz:
http://arxiv.org/abs/2007.13267
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 vector-valued setting, due to the lack of key tools including Slepian's L
Externí odkaz:
http://arxiv.org/abs/1911.06350
In this paper, we establish the invariance principle and the large deviation for the biased random walk $RW_{\lambda}$ with $\lambda \in [0,1)$ on $\mathbb{Z}^d, d\geq 1$.
Externí odkaz:
http://arxiv.org/abs/1811.03858
We consider a class of biased random walks on infinite graphs and present several general results on the spectral radius of biased random walk.
Comment: 21 pages. Comments are welcome
Comment: 21 pages. Comments are welcome
Externí odkaz:
http://arxiv.org/abs/1805.01611
The uniform spanning forest measure ($\mathsf{USF}$) on a locally finite, infinite connected graph $G$ with conductance $c$ is defined as a weak limit of uniform spanning tree measure on finite subgraphs. Depending on the underlying graph and conduct
Externí odkaz:
http://arxiv.org/abs/1805.01615
Publikováno v:
Journal of Applied Probability, 2020 Mar 01. 57(1), 295-313.
Externí odkaz:
https://www.jstor.org/stable/48656207
