LARGE DEVIATIONS FOR HEAT KERNEL MEASURES ON LOOP SPACES VIA ROUGH PATHS

DOI10.1112/S0024610706022654zbMath1133.60006OpenAlexW2128809472MaRDI QIDQ5481525

Hiroshi Kawabi, Yuzuru Inahama

Publication date: 10 August 2006

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610706022654

Mathematics Subject Classification ID

Gaussian processes (60G15) Diffusion processes and stochastic analysis on manifolds (58J65) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (12)

A moment estimate of the derivative process in rough path theory ⋮ Precise Laplace asymptotics for singular stochastic PDEs: the case of 2D gPAM ⋮ Laplace's method for the laws of heat processes on loop spaces ⋮ A SUPPORT THEOREM AND A LARGE DEVIATION PRINCIPLE FOR KUNITA FLOWS ⋮ Asymptotic expansions for the Laplace approximations for Itô functionals of Brownian rough paths ⋮ Construction of diffusions on current groups ⋮ Large deviation principle of Freidlin-Wentzell type for pinned diffusion processes ⋮ Large deviation principle for certain spatially lifted Gaussian rough path ⋮ A stochastic Taylor-like expansion in the rough path theory ⋮ Rough integrators on Banach manifolds ⋮ Rough paths analysis of general Banach space-valued Wiener processes ⋮ QUASI-SURE EXISTENCE OF BROWNIAN ROUGH PATHS AND A CONSTRUCTION OF BROWNIAN PANTS

This page was built for publication: LARGE DEVIATIONS FOR HEAT KERNEL MEASURES ON LOOP SPACES VIA ROUGH PATHS