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math.PR2021
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…
math.PR2020
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…