3 citations · 8 across the 10 of their papers we have counts for
11 papers
Critical limits of generating functions for face-constrained labelled planar maps
Zhenyao Sun
We study connected planar maps with a fixed number of numbered faces, whose vertices carry integer labels such that the minimum label along the boundary of each face is one. Each f…
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.