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

G. Ben Arous; R. Léandre

doi:10.1007/BF01192161

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

G. Ben Arous, R. Léandre

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	French
Pages (from-to)	175-202
Number of pages	28
Journal	Probability Theory and Related Fields
Volume	90
Issue number	2
DOIs	https://doi.org/10.1007/BF01192161
State	Published - Jun 1991

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

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10.1007/BF01192161

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title = "Decroissance exponentielle du noyau de la chaleur sur la diagonale (I)",

abstract = "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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AB - 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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Decroissance exponentielle du noyau de la chaleur sur la diagonale (I)

Abstract

ASJC Scopus subject areas

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