Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds

DOI10.1016/j.jfa.2015.09.023zbMath1349.58016arXiv1401.6739OpenAlexW2170797180MaRDI QIDQ892664

Shigeki Aida

Publication date: 11 November 2015

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

Full work available at URL: https://arxiv.org/abs/1401.6739

zbMATH Keywords

logarithmic Sobolev inequalityJacobi fieldsspectral gapsemi-classical limitloop spacerough pathsquasi-sure analysisClark-Ocone-Haussmann formula

Mathematics Subject Classification ID

Loop spaces (55P35) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07) Local spectral properties of linear operators (47A11)

Related Items (1)

Logarithmic heat kernel estimates without curvature restrictions

Cites Work

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