Volume Growth and Escape Rate of Brownian Motion on a Cartan—Hadamard Manifold

DOI10.1007/978-0-387-85650-6_10zbMath1167.58019OpenAlexW181828947MaRDI QIDQ3627658

Alexander Grigor'yan, Elton P. Hsu

Publication date: 13 May 2009

Published in: Sobolev Spaces in Mathematics II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-387-85650-6_10

zbMATH Keywords

Brownian motionvolume growthescape rateCartan-Hadamar manifold

Mathematics Subject Classification ID

Heat equation (35K05) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (12)

Tracking and Regret Bounds for Online Zeroth-Order Euclidean and Riemannian Optimization ⋮ Some functional properties on Cartan-Hadamard manifolds of very negative curvature ⋮ On the upper rate functions of some time inhomogeneous diffusion processes ⋮ Upper escape rate of Markov chains on weighted graphs ⋮ Upper escape rate for weighted graphs via metric graphs ⋮ Rate functions for symmetric Markov processes via heat kernel ⋮ Escape rate of Markov chains on infinite graphs ⋮ Volume growth and escape rate of Brownian motion on a complete Riemannian manifold ⋮ Intrinsic Metrics on Graphs: A Survey ⋮ Volume growth and escape rate of symmetric diffusion processes ⋮ Escape rate of symmetric jump-diffusion processes ⋮ Analysis and stochastic processes on metric measure spaces

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