Comparison theorems for Brownian motions on Riemannian manifolds and their applications

DOI10.1016/0047-259X(88)90034-6zbMath0635.60091WikidataQ115363977 ScholiaQ115363977MaRDI QIDQ1097589

Kanji Ichihara

Publication date: 1988

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

law of the iterated logarithmtransition probabilities of a Brownian motion on a complete Riemannian manifold

Mathematics Subject Classification ID

Strong limit theorems (60F15) Brownian motion (60J65) General theory of stochastic processes (60G07) Diffusion processes and stochastic analysis on manifolds (58J65)

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Stochastic differential geometry: An introduction ⋮ Radial processes for sub-Riemannian Brownian motions and applications

Cites Work

• Function theory on manifolds which possess a pole
• A strong maximum principle for weakly subparabolic functions
• Curvature, geodesics and the Brownian motion on a Riemannian manifold II—Explosion properties
• Curvature, geodesics and the Brownian motion on a Riemannian manifold I—Recurrence properties
• A lower bound for the heat kernel
• Bessel diffusions as a one-parameter family of diffusion processes
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