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math.PR2026
A scaling limit theorem for controlled branching processes with a size-divisible term
Miguel González, Pedro MartÃn-Chávez, Inés del Puerto
This paper establishes general sufficient conditions for a sequence of controlled branching processes to converge weakly on the Skorokhod space. We focus on a class of control mech…
math.PR2024
Critical Multitype Branching Processes with Random Migration
Miguel González, Pedro MartÃn-Chávez, Inés del Puerto
The aim of this paper is to introduce a multitype branching process with random migration following the research initiated with the Galton-Watson process with migration introduced…
math.PR2024
Diffusion approximation of critical controlled multi-type branching processes
Matyas Barczy, Miguel González, Pedro MartÃn-Chávez +1
Branching processes form an important family of stochastic processes that have been successfully applied in many fields. In this paper, we focus our attention on controlled multi-t…