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Critical Controlled Branching Processes and Their Relatives

2014/11/21 by George P. Yanev, Yanev, George P.
Computer Science · Mathematics · Physics and Astronomy · #60J80 #Cellular Automata and Applications #FOS: Mathematics #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR #msc:60J80

paper · pdf · doi:10.48550/arxiv.1411.6045

arxiv created 2014/11/21 · openalex publication_date 2014/11/21 · arxiv updated 2014/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This survey aims at collecting and presenting results for one-type, discrete time branching processes with random control functions. In particular, the subclass of critical migration processes with different regimes of immigration and emigration is reviewed in detail. Critical controlled branching processes with continuous state space are also discussed.

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