English

Nonlinear branching processes with immigration

Probability 2017-01-20 v2

Abstract

The nonlinear branching process with immigration is constructed as the pathwise unique solution of a stochastic integral equation driven by Poisson ran- dom measures. Some criteria for the regularity, recurrence, ergodicity and strong ergodicity of the process are then established.

Keywords

Cite

@article{arxiv.1609.08929,
  title  = {Nonlinear branching processes with immigration},
  author = {Pei-Sen Li},
  journal= {arXiv preprint arXiv:1609.08929},
  year   = {2017}
}
R2 v1 2026-06-22T16:04:10.872Z