Gaussian lower bounds for random walks from elliptic regularity
Pascal Auscher, Thierry Coulhon (1999)
Annales de l'I.H.P. Probabilités et statistiques
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Pascal Auscher, Thierry Coulhon (1999)
Annales de l'I.H.P. Probabilités et statistiques
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Johannes Sjöstrand (1994)
Annales de l'institut Fourier
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For correlations of the form (0.2) we consider a critical case and prove power decay upper bounds in terms of the fundamental solution of a certain elliptic operator. This is achieved by improving the use of a maximum principle. We also formulate a general maximum principle and give two applications.
Dominique Bakry, Zhongmin M. Qian (1999)
Revista Matemática Iberoamericana
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Several new Harnack estimates for positive solutions of the heat equation on a complete Riemannian manifold with Ricci curvature bounded below by a positive (or a negative) constant are established. These estimates are sharp both for small time, for large time and for large distance, and lead to new estimates for the heat kernel of a manifold with Ricci curvature bounded below.
Tilak Bhattacharya, Allen Weitsman (1996)
Revista Matemática Iberoamericana
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Jean Jacod (1998)
Annales de l'I.H.P. Probabilités et statistiques
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Dorian Goldfeld (1975)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Shibata, Tetsutaro (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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