Spectral Gaps on Discretized Loop Spaces

DOI10.1142/S021902570300116XzbMath1056.58011MaRDI QIDQ3043503

Andreas Eberle

Publication date: 6 August 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

Brownian bridgePoincaré inequalitysemiclassical analysis

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items

Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds, Local spectral gaps on loop spaces., Functional inequalities for nonlocal Dirichlet forms with finite range jumps or large jumps, An approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvature, A concrete estimate for the weak Poincaré inequality on loop space, Sharp tunneling estimates for a double-well model in infinite dimension

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• Off diagonal short time asymptotics for fundamental solution of diffusion equation