3 citations · 9 across the 7 of their papers we have counts for
8 papers
Minimum and extremal process for a branching random walk outside the boundary case
Xinxin Chen, Haojie Hou
This work extends the studies on the minimum and extremal process of a supercritical branching random walk outside the boundary case which cannot be reduced to the boundary case. W…
Minkowski sum of fractal percolation and random sets
Tianyi Bai, Xinxin Chen, Yuval Peres
In this paper, we prove that hitting probability of Minkowski sum of fractal percolations can be characterized by capacity. Then we extend this result to Minkowski sum of general r…
Heavy range of the randomly biased walk on Galton-Watson trees in the slow movement regime
Xinxin Chen
We consider the randomly biased random walk on trees in the slow movement regime as in [HS16], whose potential is given by a branching random walk in the boundary case. We study th…
Doob equivalence and non-commutative peaking for Markov chains
Xinxin Chen, Adam Dor-On, Langwen Hui +2
In this paper we show how questions about operator algebras constructed from stochastic matrices motivate new results in the study of harmonic functions on Markov chains. More prec…
On the tail distribution of the solution to some law equation
Xinxin Chen, Chunhua Ma
We consider a distribution equation which was initially studied by Bertoin \cite{Bertoin}: \[M \stackrel{d}{=} \max\{\widetildeν, \max_{1\leq k\leq ν}M_k\}.\] where $\{M_k\}_{k\geq…
Long Brownian bridges in hyperbolic spaces converge to Brownian trees
Xinxin Chen, Grégory Miermont
We show that the range of a long Brownian bridge in the hyperbolic space converges after suitable renormalisation to the Brownian continuum random tree. This result is a relatively…