Escape rate of brownian motion on riemanian manifolds

DOI10.1080/00036819908840705zbMath1020.58024OpenAlexW1556032764WikidataQ58259962 ScholiaQ58259962MaRDI QIDQ4487761

Alexander Grigor'yan

Publication date: 25 June 2000

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819908840705

zbMATH Keywords

Brownian motionRiemannian manifoldlong time behaviour of the trajectorieslower radiusupper radius

Mathematics Subject Classification ID

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

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Cites Work

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• Gaussian estimates for Markov chains and random walks on groups
• \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds
• Symmetric Markov chains in \({\mathbb{Z}}^ 4:\) How fast can they move?
• Modified isoperimetric constants, and large time heat diffusion in Riemannian manifolds
• Heat kernel bounds, conservation of probability and the Feller property
• Sharp estimates for capacities and applications to symmetric diffusions
• Variants on the Law of the Iterated Logarithm
• Sobolev and isoperimetric inequalities for riemannian submanifolds
• A harnack inequality for parabolic differential equations

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