Variational characterization of multitype Galton-Watson branching processes

DOI10.1007/s10255-014-0266-2zbMath1305.60085OpenAlexW2130332696MaRDI QIDQ403435

Ying Wang

Publication date: 29 August 2014

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-014-0266-2

zbMATH Keywords

equilibrium statesvariational analysismultitype Galton-Watson branching processesretrospective processes

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Cites Work

• Mutation, selection, and ancestry in branching models: a variational approach
• Statistical mechanics and population biology
• General branching processes as Markov fields
• Evolutionary formalism for products of positive random matrices
• Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
• Dynamical systems. Examples of complex behaviour
• Stabilities and instabilities in population dynamics
• Supercritical multitype branching processes: the ancestral types of typical individuals
• Branching Processes
• A Limit Theorem for Multidimensional Galton-Watson Processes
• Branching processes in biology
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