Hitting probabilities for Brownian motion on Riemannian manifolds

Journal des Mathematiques Pures et Appliquees

Volumn 81, Issue 2, 2002, Pages 115-142

  Grigor'Yan, Alexander ^a   Saloff Coste, Laurent ^b,c  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b CNRS   (France)

^c Cornell University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036076695     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(01)01244-2     Document Type: Article

References (36)

1. Non-negative solutions of linear parabolic equations
2. Heat kernel lower bounds on Riemannian manifolds using the old ideas of Nash
3. Isoperimetric constants, the geometry of ends, and large time heat diffusion in Riemannian manifolds
4. A lower bound for the heat kernel
5. Non-Gaussian aspects of heat kernel behaviour
6. Maximum principle for parabolic inequalities and the heat flow on open manifolds
7. On the existence of positive fundamental solution of the Laplace equation on Riemannian manifolds (in Russian)
8. On Liouville theorems for harmonic functions with finite Dirichlet integral (in Russian)
9. The heat equation on non-compact Riemannian manifolds (in Russian)
10. Heat kernel upper bounds on a complete non-compact manifold
11. Integral maximum principle and its applications
12. Gaussian upper bounds for the heat kernel on arbitrary manifolds
13. Estimates of heat kernels on Riemannian manifolds
14. Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
15. Heat kernel on connected sums of Riemannian manifolds
16. Dirichlet heat kernel in the exterior of a compact set
17. Brownian Motion and Stochastic Calculus
18. On the parabolic kernel of the Schrödinger operator
19. Random thoughts on reversible potential theory
20. Sobolev Spaces, Izdat. Leningrad Gos. Univ. Leningrad
21. The Laplacian on a Riemannian Manifold
22. A note on Poincaré, Sobolev and Harnack inequalities
23. Parabolic Harnack inequality for divergence form second order differential operators
24. Classification Theory of Riemannian Manifolds
25. On a martingale method for symmetric diffusion process and its applications