Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

• Material Type: 記事
• Title: Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• Author Heading: Alexander Grigor’yan
• Publication Date: 1999-02-19
• Publication Date (W3CDTF): 1999-02-19
• Periodical title: Bulletin of the American Mathematical Society
• No. or year of volume/issue: 36 2
• Volume: 36
• Issue: 2
• Pages: 135-249
• Publication date of volume/issue (W3CDTF): 1999-02-19
• ISSN (Periodical Title): 02730979
• Publication (Periodical Title): American Mathematical Society (AMS)
• Target Audience: 一般
• DOI: 10.1090/s0273-0979-99-00776-4
• Date Created (W3CDTF): 2002-07-26
• Rights (production): https://www.ams.org/publications/copyright-and-permissions
• Related Material (URI): http://www.ams.org/bull/1999-36-02/S0273-0979-99-00776-4/S0273-0979-99-00776-4.pdf; https://www.ams.org/bull/1999-36-02/S0273-0979-99-00776-4/S0273-0979-99-00776-4.pdf
• Is Referenced By: On the Number of Omitted Values by a Meromorphic Function of Finite Energy and Heat Diffusions; https://cir.nii.ac.jp/crid/1360004231526143616; Upper escape rate of Markov chains on weighted graphs; https://cir.nii.ac.jp/crid/1360004232509233024; Essential Self-Adjointness and the $$L^2$$-Liouville Property; https://cir.nii.ac.jp/crid/1360017282183495168; Nonlinear characterizations of stochastic completeness; https://cir.nii.ac.jp/crid/1360290617490128512; Long Time Behavior of the Volume of the Wiener Sausage on Dirichlet Spaces; https://cir.nii.ac.jp/crid/1360567181376931968; Escape rate of the Brownian motions on hyperbolic spaces; https://cir.nii.ac.jp/crid/1360567189611564672; Poincaré constant on manifolds with ends; https://cir.nii.ac.jp/crid/1360580230590456832; Non-explosion of diffusion processes on manifolds with time-dependent metric; https://cir.nii.ac.jp/crid/1360848656101645312; Heat kernel estimates on connected sums of parabolic manifolds; https://cir.nii.ac.jp/crid/1360848657291254016; A generalized conservation property for the heat semigroup on weighted manifolds; https://cir.nii.ac.jp/crid/1361975840623895424; STOKES' THEOREM, VOLUME GROWTH AND PARABOLICITY; https://cir.nii.ac.jp/crid/1390001205117816704; Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form; https://cir.nii.ac.jp/crid/1390282680091952256; Lp-independence of spectral bounds of Schrödinger-type operators with non-local potentials; https://cir.nii.ac.jp/crid/1390282680092133376; Functional calculus of Laplace transform type on non-doubling parabolic manifolds with ends; https://cir.nii.ac.jp/crid/1390288834704475904; Qualitative Properties of Solutions of Degenerate Parabolic Equations via Energy Approaches; https://cir.nii.ac.jp/crid/1390858474445820416
• Data Provider (Database): 国立情報学研究所 : CiNii Research
• Original Data Provider (Database): Crossref; https://www.crossref.org

• Summary, etc.: <p>We provide an overview of such properties of the Brownian motion on complete non-compact Riemannian manifolds as recurrence and non-explosion. It i...