Infinitely dimensional control Markov branching chains in random environments

DOI10.1007/S11425-005-0024-2zbMath1102.60092OpenAlexW1500138128MaRDI QIDQ854629

Dihe Hu

Publication date: 6 December 2006

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-005-0024-2

zbMATH Keywords

extinction probabilitygenerating functional\(\beta\)-control Markov branching chain in random environmentpolarization and proliferation raterandom Markov transition functions

Mathematics Subject Classification ID

Markov and semi-Markov decision processes (90C40) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

Limit theorems for a Galton-Watson process with immigration in varying environments

Cites Work

• Unnamed Item
• On the central limit theorem for Markov chains in random environments
• On the growth of the multitype supercritical branching process in a random environment
• A martingale approach to supercritical (CMJ) branching processes
• Markov chains with stochastically stationary transition probabilities
• Zero set of Sobolev functions with negative power of integrability
• The ergodic theory of Markov chains in random environments
• Markov branching processes with interaction
• On Branching Processes with Random Environments: I: Extinction Probabilities

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