5 papers
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…
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…