Laplace's method for the laws of heat processes on loop spaces

DOI10.1016/j.jfa.2005.06.006zbMath1102.60055OpenAlexW2049890050MaRDI QIDQ2368788

Yuzuru Inahama

Publication date: 28 April 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.06.006

zbMATH Keywords

rough path theory

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Large deviations (60F10)

Related Items (5)

Precise Laplace asymptotics for singular stochastic PDEs: the case of 2D gPAM ⋮ Asymptotic expansions for the Laplace approximations for Itô functionals of Brownian rough paths ⋮ Laplace approximation for rough differential equation driven by fractional Brownian motion ⋮ A stochastic Taylor-like expansion in the rough path theory ⋮ A generalized Fernique theorem and applications

Cites Work

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• Precise asymptotics of certain Wiener functionals
• Gaussian measures in Banach spaces
• Semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space.
• A function space large deviation principle for certain stochastic integrals
• Lévy area of Wiener processes in Banach spaces
• Large deviations and support theorem for diffusion processes via rough paths.
• Methods de laplace et de la phase stationnaire sur l'espace de wiener
• Asymptotics of certain wiener functionals with degenerate extrema
• System Control and Rough Paths
• The Laplace method for probability measures in Banach spaces
• LARGE DEVIATIONS FOR HEAT KERNEL MEASURES ON LOOP SPACES VIA ROUGH PATHS
• Some Asymptotic Formulas for Wiener Integrals
• Large deviations for the Brownian motion on loop groups

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