5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.PR2019
Branching processes in correlated random environment
Xinxin Chen, Nadine Guillotin-Plantard
We consider the critical branching processes in correlated random environment which is positively associated and study the probability of survival up to the n-th generation. Moreov…
math.PR2014★ 5 cited
A necessary and sufficient condition for the non-trivial limit of the derivative martingale in a branching random walk
Xinxin Chen
We consider a branching random walk on the line. Biggins and Kyprianou [6] proved that, in the boundary case, the associated derivative martingale converges almost surly to a finit…
math.PR2012
A study of random walks on wedges
Xinxing Chen
In this paper we develop the idea of Lyons and gives a simple criterion for the recurrence and the transience. We also show that a wedge has the infinite collision property if and…