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Decroissance exponentielle du noyau de la chaleur sur la diagonale (I)
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  • Published: June 1991

Decroissance exponentielle du noyau de la chaleur sur la diagonale (I)

  • G. Ben Arous1 &
  • R. Léandre2 

Probability Theory and Related Fields volume 90, pages 175–202 (1991)Cite this article

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Summary

We give examples based upon large deviation's theory where the heat kernel of a degenerate diffusion has an exponential decay over the diagonal. Using Malliavin calculus, we give conditions for a more generalized heat kernel to have an exponential decay over the diagonal. We give lower bound in some particular case by using the Bismut's condition.

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Authors and Affiliations

  1. Department de Mathématiques, École Normale Supérieure, 45 rue d'Ulm, F-75230, Paris Cedex 05, France

    G. Ben Arous

  2. Université Louis Pasteur, 7, rue R. Descartes, F-67084, Strasbourg, France

    R. Léandre

Authors
  1. G. Ben Arous
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  2. R. Léandre
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Ben Arous, G., Léandre, R. Decroissance exponentielle du noyau de la chaleur sur la diagonale (I). Probab. Th. Rel. Fields 90, 175–202 (1991). https://doi.org/10.1007/BF01192161

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  • Received: 03 March 1988

  • Revised: 15 July 1990

  • Issue Date: June 1991

  • DOI: https://doi.org/10.1007/BF01192161

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