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Showing 2020 · math.PRShow all
3 papers · 2 filters
math.PR2020
Boundary behaviors for a class of continuous-state nonlinear branching processes in critical cases
Shaojuan Ma, Xu Yang, Xiaowen Zhou
Using Foster-Lyapunov techniques we establish new conditions on non-extinction, non-explosion, coming down from infinity and staying infinite, respectively, for the general continu…
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…
math.PR2020
Harmonic moments and large deviations for a critical Galton-Watson process with immigration
Doudou Li, Mei Zhang
In this paper, a critical Galton-Watson branching process with immigration is studied. We first obtain the convergence rate of the harmonic moment of . Then the larg…