Spectral gaps on loop spaces: a counterexample

DOI10.1016/S0764-4442(00)00141-5zbMath0955.58031OpenAlexW2082032383WikidataQ124966132 ScholiaQ124966132MaRDI QIDQ4950768

Andreas Eberle

Publication date: 20 February 2001

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(00)00141-5

zbMATH Keywords

Riemannian manifoldsspectral gaploop spacesOrnstein-Uhlenbeck operators

Mathematics Subject Classification ID

Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (5)

Concentration of the Brownian bridge on the hyperbolic plane ⋮ Absence of spectral gaps on a class of loop spaces ⋮ Local spectral gaps on loop spaces. ⋮ An estimate of the gap of spectrum of Schrödinger operators which generate hyperbounded semigroups ⋮ Poincaré inequality for weighted first order Sobolev spaces on loop spaces

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