On transition semigroups of \((A,\mathbf\Psi)\)-superprocesses with immigration

DOI10.1214/aop/1055425784zbMath1043.60076OpenAlexW2091006976MaRDI QIDQ1431496

Wilhelm Stannat

Publication date: 10 June 2004

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aop/1055425784

zbMATH Keywords

rates of convergenceGâteaux derivativenonzero immigration

Mathematics Subject Classification ID

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

Related Items (6)

Book review of: C. L. Epstein and R. Mazzeo, Degenerate diffusion operators arising in population biology ⋮ Spectral properties for a class of continuous state branching processes with immigration. ⋮ Long-time behavior for subcritical measure-valued branching processes with immigration ⋮ GENERALIZED MEHLER SEMIGROUPS AND ORNSTEIN–UHLENBECK PROCESSES ARISING FROM SUPERPROCESSES OVER THE REAL LINE ⋮ Poisson representations of branching Markov and measure-valued branching processes ⋮ Ergodicities and Exponential Ergodicities of Dawson--Watanabe Type Processes

Cites Work

• Dirichlet forms and analysis on Wiener space
• Geometric aspects of Fleming-Viot and Dawson-Watanabe processes
• Spectral properties for a class of continuous state branching processes with immigration.
• Comparison for measure valued processes with interactions
• Note on product formulas for operator semigroups
• A limit theorem of branching processes and continuous state branching processes
• Two singular diffusion problems
• Short-time asymptotics in Dirichlet spaces
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