Brownian motion and random walks on manifolds

DOI10.5802/aif.972zbMath0523.60071OpenAlexW1964154512MaRDI QIDQ1056467

Nicholas Th. Varopoulos

Publication date: 1984

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1984__34_2_243_0

zbMATH Keywords

Riemannian manifoldapproximation of the Brownian motion

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65)

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Cites Work

• Lower bounds for the eigenvalues of negatively curved manifolds
• Winding of the plane Brownian motion
• Spectral geometry for certain noncompact Riemannian manifolds
• Brownian motion and transient groups
• On the heat kernel of a complete Riemannian manifold
• A note on curvature and fundamental group
• A lower bound for the heat kernel
• On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
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