DIRICHLET FORMS IN TERMS OF WHITE NOISE ANALYSIS II: CLOSABILITY AND DIFFUSION PROCESSES

DOI10.1142/S0129055X89000146zbMath0708.60100OpenAlexW2056745957MaRDI QIDQ3490745

Takeyuki Hida, Ludwig Streit, Juergen Potthoff, Sergio A. Albeverio, Michael Roeckner

Publication date: 1989

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x89000146

zbMATH Keywords

white noise analysisDirichlet formsinfinite dimensional diffusion processes

Mathematics Subject Classification ID

Model quantum field theories (81T10) Other physical applications of random processes (60K40) Probabilistic potential theory (60J45)

Related Items (16)

Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems ⋮ The Feynman integrand as a Hida distribution ⋮ Spectral approach to white noise analysis ⋮ Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process ⋮ a general correspondence between\\ Dirichlet forms and right processes ⋮ Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus ⋮ Non-local Markovian symmetric forms on infinite dimensional spaces. II: Applications: non local stochastic quantization of space cut-off quantum fields and infinite particle systems ⋮ Energy forms and quantum dynamics ⋮ On the contraction property of energy forms on infinite-dimensional space ⋮ A characterization of Hida distributions ⋮ Construction of a general class of Dirichlet forms in terms of white noise analysis ⋮ Non-local Markovian symmetric forms on infinite dimensional spaces. I: The closability and quasi-regularity ⋮ Continuity of affine transformations of white noise test functionals and applications ⋮ Mittag-Leffler analysis. I: Construction and characterization ⋮ Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics ⋮ The elliptic stochastic quantization of some two dimensional Euclidean QFTs

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