3 citations · 8 across the 10 of their papers we have counts for
10 papers · 1 filter
On the spectral radius of the -lazy Markov chain
Li Qian, Zhenyao Sun
We consider an -lazy operation on an irreducible Markov transition probability with state space where and . For each and ,…
On the coming down from infinity of coalescing Brownian motions
Clayton Barnes, Leonid Mytnik, Zhenyao Sun
Consider a system of Brownian particles on the real line where each pair of particles coalesces at a certain rate according to their intersection local time. Assume that there are…
Subcritical superprocesses conditioned on non-extinction
Rongli Liu, Yan-Xia Ren, Renming Song +1
We consider a class of subcritical superprocesses with general spatial motions and general branching mechanisms. We study the asymptotic behaviors of $\mathbf Q_{…
Effect of small noise on the speed of reaction-diffusion equations with non-Lipschitz drift
Clayton Barnes, Leonid Mytnik, Zhenyao Sun
We consider the -valued solution to the one dimensional stochastic reaction diffusion equation with Wright-Fisher noise \[\partial_t u= \…
Stable Central Limit Theorems for Super Ornstein-Uhlenbeck Processes, II
Yan-Xia Ren, Renming Song, Zhenyao Sun +1
This paper is a continuation of our recent paper (Elect. J. Probab. 24 (2019), no. 141) and is devoted to the asymptotic behavior of a class of supercritical super Ornstein-Uhlenbe…
Quasi-stationary distributions for subcritical superprocesses
Rongli Liu, Yan-Xia Ren, Renming Song +1
Suppose that is a subcritical superprocess. Under some asymptotic conditions on the mean semigroup of , we prove the Yaglom limit of exists and identify all quasi-statio…
Stable Central Limit Theorems for Super Ornstein-Uhlenbeck Processes
Yan-Xia Ren, Renming Song, Zhenyao Sun +1
In this paper, we study the asymptotic behavior of a supercritical -superprocess whose underlying spatial motion is an Ornstein-Uhlenbeck process on $\…
Limit theorems for a class of critical superprocesses with stable branching
Yan-Xia Ren, Renming Song, Zhenyao Sun
We consider a critical superprocess with general spatial motion and spatially dependent stable branching mechanism with lowest stable index . We first…
Spine decompositions and limit theorems for a class of critical superprocesses
Yan-Xia Ren, Renming Song, Zhenyao Sun
In this paper, we first establish a decomposition theorem for size-biased Poisson random measures. As consequences of this decomposition theorem, we get a spine decomposition theor…
A 2-spine Decomposition of the Critical Galton-Watson Tree and a Probabilistic Proof of Yaglom's Theorem
Yan-Xia Ren, Renming Song, Zhenyao Sun
In this note we propose a two-spine decomposition of the critical Galton-Watson tree and use this decomposition to give a probabilistic proof of Yaglom's theorem.