Hilbert space regularity of the \((\alpha,d,1)\)-superprocess and its occupation time.

DOI10.1214/aop/1019160113zbMath1044.60031OpenAlexW1990561517MaRDI QIDQ1872504

Amitava Bose, Douglas Blount

Publication date: 6 May 2003

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

Full work available at URL: https://projecteuclid.org/euclid.aop/1019160113

zbMATH Keywords

superprocessoccupation timesstochastic evolution equationSobolev space regularity

Mathematics Subject Classification ID

Sample path properties (60G17) Generalized stochastic processes (60G20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Applications of functional analysis in probability theory and statistics (46N30)

Cites Work

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• Local time and Tanaka formulae for super Brownian and super stable processes
• Some properties for the measure-valued branching diffusion processes
• Weak convergence of interacting SDEs to the superprocess
• A criterion of convergence of measure‐valued processes: application to measure branching processes
• Ergodic theory and a local occupation time for measure-valued critical branching brownian motion
• A maximal inequality for stochastic convolution integrals on hilbert spaces and space-time regularity of linear stochastic partial differential equations
• Stochastic evolution equations

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