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Diffusion on Lie Groups

Published online by Cambridge University Press:  20 November 2018

N. TH. Varopoulos
N. TH. Varopoulos*
Affiliation:
Université de Paris VI 4 Place Jussieu 75005 Paris France
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Abstract

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The heat kernel of an amenable Lie group satisfies either pt ~ exp(—ct1/3) or pt ~ t-a as t → ∞. We give a condition on the Lie algebra which characterizes the two cases.

Résumé

Résumé

Pour le noyau de la chaleur sur un groupe de Lie moyennable on a soit pt ~ exp(—ct1/3), soit pt ~ t-a (lorsque t → ∞). On donne une condition sur l'algèbre de Lie qui caractérise les deux cas

Keywords

22E3043A8060J6060J65
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 46 , Issue 2 , 01 April 1994 , pp. 438 - 448
Copyright
Copyright © Canadian Mathematical Society 1994

References

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