Approximation of a generalized continuous-state branching process with interaction

DOI10.1214/18-ECP176zbMath1401.60159MaRDI QIDQ1990042

Ibrahima Dramé, Etienne Pardoux

Publication date: 24 October 2018

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ecp/1539763346

zbMATH Keywords

tightnessinteractionGalton-Watson processescontinuous-state branching processes

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (3)

Scaling limits of population and evolution processes in random environment ⋮ Approximation of the height process of a continuous state branching process with interaction ⋮ The height process of a continuous-state branching process with interaction

Cites Work

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• Stochastic equations, flows and measure-valued processes
• Branching processes with interaction and a generalized Ray-Knight theorem
• On the convergence of sequences of branching processes
• Stopping times and tightness
• Probabilistic Models of Population Evolution
• Measure-Valued Branching Markov Processes
• Asymptotic behaviour of continuous time, continuous state-space branching processes
• Non-binary branching process and non-Markovian exploration process

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