THE STOCHASTIC ORDER AND CRITICAL PHENOMENA FOR SUPERPROCESSES

DOI10.1142/S0219025706002251zbMath1087.60019OpenAlexW2131852688MaRDI QIDQ5468906

Feng-Yu Wang

Publication date: 3 May 2006

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025706002251

zbMATH Keywords

ergodicitystochastic orderextinctionDawson--Watanabe superprocess

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

Stochastic comparison for Lévy-type processes ⋮ Order preservation for path-distribution dependent SDEs ⋮ Comparison theorem for neutral stochastic functional differential equations driven by \(G\)-Brownian motion ⋮ Comparison theorem for path dependent SDEs driven by G-Brownian motion ⋮ Order preservation for multidimensional stochastic functional differential equations with jumps ⋮ Comparison theorem for distribution-dependent neutral SFDEs ⋮ Distribution dependent stochastic differential equations

Cites Work

• Unnamed Item
• Scaling limits for associated random measures
• Construction and regularity of measure-valued Markov branching processes
• Comparison methods for a class of function valued stochastic partial differential equations
• Stochastic inequalities on partially ordered spaces
• Diffusion equation techniques in stochastic monotonicity and positive correlations
• White noise driven SPDEs with reflection
• On order-preservation and positive correlations for multidimensional diffusion processes
• On quasi-linear stochastic partial differential equations
• Association and random measures
• Extinction properties of super-Brownian motions with additional spatially dependent mass production.
• Extensions of Trotter's operator semigroup approximation theorems

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