Some nonlinear stochastic growth models

DOI10.1090/S0002-9904-1971-12732-5zbMath0307.92012WikidataQ56593239 ScholiaQ56593239MaRDI QIDQ4065359

Harry Kesten

Publication date: 1971

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Trade models (91B60) Applications of branching processes (60J85) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Limit theorems in probability theory (60F99)

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Cites Work

• An Inequality Arising in Genetical Theory
• Quadratic transformations: a model for population growth. I
• Homogeneous nonnegative symmetric quadratic transformations
• Extinction conditions for certain bisexual Galton-Watson branching processes
• Stochastic models for the population growth of the sexes
• On Branching Processes in Random Environments
• A Limit Theorem for Multidimensional Galton-Watson Processes
• Branching processes with random environments
• Limit theorems for stochastic growth models. I
• Resource Allocation Under Uncertainty
• Balanced Growth under Constant Returns to Scale
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