Logarithmic Sobolev inequalities on path spaces over Riemannian manifolds

From MaRDI portal
Publication:1379550

DOI10.1007/s002200050188zbMath0892.58083OpenAlexW1998530827WikidataQ115388685 ScholiaQ115388685MaRDI QIDQ1379550

Elton P. Hsu

Publication date: 11 August 1998

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

Full work available at URL: https://doi.org/10.1007/s002200050188




Related Items (21)

Couplings, gradient estimates and logarithmic Sobolev inequalitiy for Langevin bridgesLog-Sobolev inequalities: different roles of Ric and HessAnalysis on free Riemannian path spacesMartingale representation and logarithmic-Sobolev inequality for the fractional Ornstein-Uhlenbeck measureA character of the gradient estimate for diffusion semigroupsCharacterizations of the upper bound of Bakry-Emery curvatureAn integration by parts formula on path space over manifolds carrying geometric flowSpectral gap on Riemannian path space over static and evolving manifoldsIntegration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifoldsStochastic Heat Equations with Values in a Manifold via Dirichlet FormsAbsence of spectral gaps on a class of loop spacesLocal spectral gaps on loop spaces.Poincaré inequality on the path space of Poisson point processesStochastic heat equations for infinite strings with values in a manifoldA concrete estimate for the weak Poincaré inequality on loop spaceSemi-classical limit of the bottom of spectrum of a Schrödinger operator on a path space over a compact Riemannian manifoldPointwise characterizations of curvature and second fundamental form on Riemannian manifoldsFUNCTIONAL INEQUALITIES, SEMIGROUP PROPERTIES AND SPECTRUM ESTIMATESFunctional inequality on path space over a non-compact Riemannian manifoldPreservation of log-Sobolev inequalities under some Hamiltonian flowsThe one dimensional free Poincaré inequality




This page was built for publication: Logarithmic Sobolev inequalities on path spaces over Riemannian manifolds