Superprocesses in random environments

DOI10.1214/aop/1041903212zbMath0874.60041OpenAlexW2085564755MaRDI QIDQ674510

Leonid Mytnik

Publication date: 2 November 1997

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

Full work available at URL: https://doi.org/10.1214/aop/1041903212

zbMATH Keywords

weak convergencemartingale problemFeller processbranching particle systemsmeasure-valued superprocess

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (14)

Mutually catalytic branching in the plane: Finite measure states ⋮ Superprocesses for the population of rabbits on grassland ⋮ Stochastic partial differential equations for superprocesses in random environments ⋮ Superprocesses arising from interactive stochastic flows ⋮ The spatial \(\Lambda\)-Fleming-Viot process in a random environment ⋮ Branching random walks in random environment and super-Brownian motion in random environment ⋮ Stochastic flows of mappings ⋮ A brief and personal history of stochastic partial differential equations ⋮ Conditional log-Laplace functional for a class of branching processes in random environments ⋮ Stochastic Duality of Markov Processes: A Study Via Generators ⋮ Hölder continuity of the solutions to a class of SPDE's arising from branching particle systems in a random environment ⋮ A rough super-Brownian motion ⋮ Longtime behavior for the occupation time process of a super-Brownian motion with random immigration. ⋮ Weak uniqueness for the heat equation with noise

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