Long-run growth rates of discrete multiplicative processes in Markovian environments

DOI10.1016/0022-247X(79)90191-4zbMath0406.60076MaRDI QIDQ1257739

Joel E. Cohen

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

ApplicationsAge-Structured PopulationsLong-Run Growth Rates of Discrete Multiplicative ProcessesMarkovian EnvironmentsNuclear Reactors

Mathematics Subject Classification ID

Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Cites Work

• Unnamed Item
• Random difference equations and renewal theory for products of random matrices
• Automaton theory and modelling of biological systems. Translated by Scitran (Scientific Translation Service)
• On Markov chains generated by Markovian controlled Markov systems. I: Ergodic properties
• Reactor Criticality and Nonnegative Matrices
• On the Continuous Dependence of the Roots of a Polynomial on its Coefficients
• On products of non-negative matrices
• Ergodicity of Age Structure in Populations with Markovian Vital Rates, I: Countable States
• Ergodicity of age structure in populations with Markovian vital rates. II. General states
• Ergodicity of age structure in populations with Markovian vital rates, III: Finite-state moments and growth rate; an illustration
• Products of Random Matrices
• Some Stochastic Versions of the Matrix Model for Population Dynamics
• Necessary Conditions for Almost Sure Extinction of a Branching Process with Random Environment
• On Branching Processes in Random Environments
• Branching Processes with Random Environments, II: Limit Theorems
• Multiplicative Systems
• ON THE USE OF MATRICES IN CERTAIN POPULATION MATHEMATICS