Measure-valued branching processes with immigration

DOI10.1016/0304-4149(92)90061-TzbMath0760.60075MaRDI QIDQ1201891

Zhenghu Li

Publication date: 17 January 1993

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

probability generating functionPoisson random measuremeasure-valued branching processimmigration processconvergence of branching particle systems

Mathematics Subject Classification ID

Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (14)

Superprocesses with interaction and immigration ⋮ Central limit theorems for supercritical superprocesses with immigration ⋮ Immigration structures associated with Dawson-Watanabe superprocesses ⋮ On a repulsion-diffusion equation with immigration ⋮ GENERALIZED MEHLER SEMIGROUPS AND ORNSTEIN–UHLENBECK PROCESSES ARISING FROM SUPERPROCESSES OVER THE REAL LINE ⋮ Catalytic discrete state branching models and related limit theorems ⋮ Poisson representations of branching Markov and measure-valued branching processes ⋮ Fluctuations of a super-Brownian motion with randomly controlled immigration ⋮ On the Poincaré inequality for infinitely divisible measures ⋮ Branching processes with immigration and related topics ⋮ On a Continuous-State Population-Size-Dependent Branching Process and Its Extinction ⋮ A Limit Theorem for Discrete Galton-Watson Branching Processes with Immigration ⋮ Longtime behavior for the occupation time process of a super-Brownian motion with random immigration. ⋮ Mutually interacting superprocesses with migration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A weighted occupation time for a class of measure-valued branching processes
• Path processes and historical superprocesses
• Branching particle systems and superprocesses
• Stochastic partial differential equations for some measure-valued diffusions
• Construction and regularity of measure-valued Markov branching processes
• Some asymptotic results for the branching process with immigration
• Integral representations of continuous functions
• A limit theorem of branching processes and continuous state branching processes
• The critical measure diffusion process

This page was built for publication: Measure-valued branching processes with immigration