Some regularity results on infinite dimensional diffusions via dirichlet forms

DOI10.1080/07362998808809152zbMath0661.60093OpenAlexW1995708902MaRDI QIDQ3810639

Byron Schmuland

Publication date: 1988

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362998808809152

zbMATH Keywords

capacityDirichlet forminfinite dimensional diffusionsbehaviour along sample paths

Mathematics Subject Classification ID

Diffusion processes (60J60) Probabilistic potential theory (60J45)

Related Items (6)

On almost sure limit inferior for \(B\)-valued stochastic processes and applications ⋮ On infinite series of independent Ornstein-Uhlenbeck processes ⋮ Continuity of \(l^2\)-valued two-parameter Ornstein-Uhlenbeck processes ⋮ Path properties of kernel generated two-time parameter Gaussian processes ⋮ Functional limit theorems for the infinite series of OU processes in Hölder norm ⋮ Differentiable measures and the Malliavin calculus

Cites Work

• Unnamed Item
• Basic properties of Brownian motion and a capacity on the Wiener space
• Eigenfunction expansions for infinite dimensional Ornstein-Uhlenbeck processes
• Formes de Dirichlet générales et densité des variables aléatoires réelles sur l'espace de Wiener. (General Dirichlet forms and density of real random variables on Wiener space)
• Dirichlet forms and diffusion processes on rigged Hilbert spaces
• Energy forms, Hamiltonians, and distorted Brownian paths
• Stochastic evolution equations

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