English

Two-type continuous-state branching processes in varying environments

Probability 2025-02-06 v1

Abstract

A basic class of two-type continuous-state branching processes in varying environments are constructed by solving the backward equation determining the cumulant semigroup. The parameters of the process are allowed to be c\`adl\`ag in time and the difficulty brought about by the bottlenecks are overcome by introducing a suitable moment condition.

Keywords

Cite

@article{arxiv.2502.02852,
  title  = {Two-type continuous-state branching processes in varying environments},
  author = {Zenghu Li and Junyan Zhang},
  journal= {arXiv preprint arXiv:2502.02852},
  year   = {2025}
}
R2 v1 2026-06-28T21:32:56.700Z