Two-type continuous-state branching processes in varying environments

Published 5 Feb 2025 in math.PR | (2502.02852v1)

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.

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