Immigration processes associated with branching particle systems

DOI10.1239/aap/1035228122zbMath0926.60066OpenAlexW2008187474MaRDI QIDQ4221247

Zhenghu Li

Publication date: 29 November 1999

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1035228122

zbMATH Keywords

immigrationDawson-Watanabe superprocessentrance lawbranching particle systemskew convolution semigroupminimal Brownian motion

Mathematics Subject Classification ID

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

Related Items (12)

Uniqueness problem for SPDEs from population models ⋮ Large deviations for super-Brownian motion with immigration ⋮ Occupation time fluctuations of weakly degenerate branching systems ⋮ Fluctuation limits of strongly degenerate branching systems ⋮ A central limit theorem for branching Brownian motion with random immigration ⋮ Some scaled limit theorems for an immigration super-Brownian motion ⋮ Fluctuation limit theorems of immigration superprocesses with small branching ⋮ Skew convolution semigroups and affine Markov processes ⋮ Branching processes with immigration and related topics ⋮ A large deviation principle for Brownian immigration particle system ⋮ Skeletal stochastic differential equations for continuous-state branching processes ⋮ A large deviation principle for a Brownian immigration particle system

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