1 citations · 1 across the 13 of their papers we have counts for
15 papers
From killed BBM with drift to BBM: the extremal process
Yan-Xia Ren, Renming Song, Fan Yang
In this paper, we study the asymptotic behavior of the extremal process of a standard one-dimensional branching Brownian motion (BBM) with drift and absorbing barrier…
Large deviations and almost sure convergence for the extremes of branching Lévy processes
Runjia Luo, Yan-Xia Ren, Renming Song +1
In this paper, we investigate the asymptotic behavior of supercritical branching Markov processes whose spatial motions are Lévy processes with regularly…
Moments of additive martingales of branching Lévy processes and applications
Yan-Xia Ren, Renming Song, Rui Zhang
Let be the Biggins martingale of a supercritical branching Lévy process with non-local branching mechanism, and denote by its limit. In this paper, we first…
Law of iterated logarithm for supercritical non-symmetric branching Markov process
Haojie Hou, Yan-Xia Ren, Renming Song
Let be a supercritical branching Markov process (which is not necessary symmetric) on a locally compact metric measure space …
Tail probability of maximal displacement in critical and subcritical branching stable processes
Haojie Hou, Yiyang Jiang, Yan-Xia Ren +1
In this paper, we study critical and subcritical branching -stable processes, . We obtain the exact asymptotic behaviors of the tails of the maximal positions of al…
Asymptotic behaviors of subcritical branching killed Lévy processes
Yan-Xia Ren, Renming Song, Yaping Zhu
In this paper, we investigate the asymptotic behaviors of the survival probability and maximal displacement of a subcritical branching killed Lévy process in . Let…
Local properties for -dimensional critical branching Lévy process
Haojie Hou, Yan-Xia Ren, Renming Song
Consider a one dimensional critical branching Lévy process . Assume that the offspring distribution either has finite second moment or belongs to…
Asymptotic behaviors of subcritical branching killed Brownian motion with drift
Haojie Hou, Yan-Xia Ren, Renming Song +1
In this paper, we study asymptotic behaviors of a subcritical branching killed Brownian motion with drift and offspring distribution . Let b…
Tails of extinction time and maximal displacement for critical branching killed Lévy process
Haojie Hou, Yan-Xia Ren, Renming Song
In this paper, we study asymptotic behaviors of the tails of extinction time and maximal displacement of a critical branching killed Lévy process in $…
Markov processes with jump kernels decaying at the boundary
Soobin Cho, Panki Kim, Renming Song +1
The goal of this work is to develop a general theory for non-local singular operators of the type $$ L^{\mathcal{B}}_αf(x)=\lim_{ε\to 0} \int_{D,\, |y-x|>ε}\big(f(y)-f(x)\big) \mat…
On the anti-concentration functions of some familiar families of distributions
Ze-Chun Hu, Renming Song, Yuan Tan
Let be a family of random variables following a certain type of distributions with finite expectation and finite variance , where is…
-stable fluctuation of the derivative martingale of branching random walk
Haojie Hou, Yan-Xia Ren, Renming Song
In this paper, we study the functional convergence in law of the fluctuations of the derivative martingale of branching random walk on the real line. Our main result strengthens th…
Asymptotic expansion for additive measure of branching Brownian motion
Haojie Hou, Yan-Xia Ren, Renming Song
Let be the collection of particles alive at time in a branching Brownian motion in , and for , let be the position of particle…
Tail probability of maximal displacement in critical branching Lévy process with stable branching
Haojie Hou, Yiyang Jiang, Yan-Xia Ren +1
Consider a critical branching Lévy process with branching rate offspring distribution and spatial motion . For any $t\ge 0…
The asymptotic behavior of rarely visited edges of the simple random walk
Ze-Chun Hu, Xue Peng, Renming Song +1
In this paper, we study the asymptotic behavior of the number of rarely visited edges (i.e., edges that visited only once) of a simple symmetric random walk on . Let $α…