A Heat Kernel Characterization of Asymptotic Harmonicity

DOI10.2307/2160153zbMath0777.58037OpenAlexW4238319171MaRDI QIDQ4201643

François Ledrappier

Publication date: 1 September 1993

Full work available at URL: https://doi.org/10.2307/2160153

zbMATH Keywords

spectral gapLaplacianuniversal coverKaimanovich entropyasymptotically harmoniccompact negatively curved manifold

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (2)

Entropy rigidity of symmetric spaces without focal points ⋮ Le bas du spectre d'une variété hyperbolique est un point selle

Cites Work

• Foliations, the ergodic theorem and Brownian motion
• Harmonic measures and Bowen-Margulis measures
• Negatively curved manifolds, elliptic operators, and the Martin boundary
• On compact asymptotically harmonic manifolds
• An explicit description of harmonic measure
• Integral formulas for the Laplacian along the unstable foliation and applications to rigidity problems for manifolds of negative curvature
• Ergodic properties of Brownian motion on covers of compact negatively-curve manifolds
• Unnamed Item

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