Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes

DOI10.5802/aif.3106zbMath1382.37033arXiv1309.5182OpenAlexW2949649462MaRDI QIDQ1687891

François Ledrappier, Lin Shu

Publication date: 4 January 2018

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.5182

zbMATH Keywords

Brownian motionharmonic measureheat kernelstable foliationMartin kernelnegatively curved manifoldlinear driftstochastic entropylaminated diffusion

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Diffusion processes and stochastic analysis on manifolds (58J65) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (4)

Central limit theorem of Brownian motions in pinched negative curvature ⋮ Corrigendum to: ``Differentiating the stochastic entropy in negatively curved spaces under conformal changes ⋮ Entropies for Negatively Curved Manifolds ⋮ The Regularity of the Linear Drift in Negatively Curved Spaces

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