DIFFUSION PROCESSES ON PATH SPACES WITH INTERACTIONS

DOI10.1142/S0129055X01000661zbMath1034.60072OpenAlexW2037638836MaRDI QIDQ4418281

Yuu Hariya, Hirofumi Osada

Publication date: 7 August 2003

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

Full work available at URL: https://doi.org/10.1142/s0129055x01000661

zbMATH Keywords

stochastic differential equationspath spacediffusionsGibbs measureDirichlet form

Mathematics Subject Classification ID

Diffusion processes (60J60) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items

Construction of Gibbs measures for 1-dimensional continuum fields

Cites Work

• An infinite dimensional stochastic differential equation with state space C(\({\mathbb{R}})\)
• On the stochastic quantization of field theory
• Tightness of general \(C_{1,p}\) capacities on Banach space
• A canonical decomposition for quadratic forms with applications to monotone convergence theorems
• Gibbs measures relative to Brownian motion
• Classical Dirichlet forms on topological vector spaces --- closability and a Cameron-Martin formula
• Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions
• Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms
• Random motion of strings and related stochastic evolution equations
• Quasi-Regular Dirichlet Forms: Examples and Counterexamples