2 citations · 3 across the 5 of their papers we have counts for
5 papers
Conditioning Bienaym{é}-Galton-Watson trees to have large sub-populations
Romain Abraham, Hongwei Bi, Jean-François Delmas
We study the local limit in distribution of Bienaym{é}-Galton-Watson trees conditioned on having large sub-populations. Assuming a generic and aperiodic condition on the offspring…
Total length of the genealogical tree for quadratic stationary continuous-state branching processes
Hongwei Bi, Jean-François Delmas
We prove the existence of the total length process for the genealogical tree of a population model with random size given by a quadratic stationary continuous-state branching proce…
A tree-valued Markov processes associated with an admissible family of branching mechanisms
Hongwei Bi, Hui He
By studying an admissible family of branching mechanisms introduced in Li (2014), we obtain a pruning procedure on Lévy trees. Then we could construct a decreasing Lévy-CRT-valued…
A population model with non-neutral mutations using branching processes with immigration
Hongwei Bi, Jean-François Delmas
We consider a stationary continuous model of random size population with non-neutral mutations using a continuous state branching process with non-homogeneous immigration. We assum…
Time to MRCA for stationary CBI-processes
Hongwei Bi
Motivated by sample path decomposition of the stationary continuous state branching process with immigration, a general population model is considered using the idea of immortal in…