4 citations · 6 across the 3 of their papers we have counts for
4 papers
Total number of births on the negative half-line of the binary branching Brownian motion in the boundary case
Xinxin Chen, Bastien Mallein
The binary branching Brownian motion in the boundary case is a particle system on the real line behaving as follows. It starts with a unique particle positioned at the origin at ti…
Branching Brownian motion conditioned on small maximum
Xinxin Chen, Hui He, Bastien Mallein
We consider a standard binary branching Brownian motion on the real line. It is known that the maximal position among all particles alive at time , shifted by $m_t = \sqrt…
On the trajectory of an individual chosen according to supercritical Gibbs measure in the branching random walk
Xinxin Chen, Thomas Madaule, Bastien Mallein
Consider a branching random walk on the real line. Madaule showed the renormalized trajectory of an individual selected according to the critical Gibbs measure converges in law to…
Scaling limit of the path leading to the leftmost particle in a branching random walk
Xinxin Chen
We consider a discrete-time branching random walk defined on the real line, which is assumed to be supercritical and in the boundary case. It is known that its leftmost position of…