3 citations · 8 across the 9 of their papers we have counts for
14 papers · 1 filter
Branching Brownian motion in a periodic environment and uniqueness of pulsating travelling waves
Yan-Xia Ren, Renming Song, Fan Yang
Using one-dimensional branching Brownian motion in a periodic environment, we give probabilistic proofs of the asymptotics and uniqueness of pulsating travelling waves of the F-KPP…
The Seneta-Heyde scaling for supercritical super-Brownian motion
Haojie Hou, Yan-Xia Ren, Renming Song
We consider the additive martingale and the derivative martingale for one-dimensional supercritical super-Brownian motions with general branching mechani…
Convergence rate for a class of supercritical superprocesses
Rongli Liu, Yan-Xia Ren, Renming Song
Suppose is a supercritical superprocess. Let be the non-negative eigenfunction of the mean semigroup of corresponding to the principal eigenvalue .…
Spine decomposition for branching Markov processes and its applications
Yan-Xia Ren, Renming Song
In the literature, the spine decomposition of branching Markov processes was constructed under the assumption that each individual has at least one child. In this paper, we give a…
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…
The extremal process of super-Brownian motion
Yan-Xia Ren, Renming Song, Rui Zhang
In this paper, we establish limit theorems for the supremum of the support, denoted by , of a supercritical super-Brownian motion on . We prove th…