The Annals of Probability

Sharp explicit lower bounds of heat kernels

Feng-Yu Wang

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By using logarithmic transformations, an explicit lower bound estimate of heat kernels is obtained for diffusion processes on Riemannian manifolds. This estimate is sharp for both short and long times, especially for heat kernels on a compact manifold, and is extended to manifolds with unbounded curvature.

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Ann. Probab., Volume 25, Number 4 (1997), 1995-2006.

First available in Project Euclid: 7 June 2002

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Primary: 58G11 60H10

Heat kernel logarithmic transformation diffusion process


Wang, Feng-Yu. Sharp explicit lower bounds of heat kernels. Ann. Probab. 25 (1997), no. 4, 1995--2006. doi:10.1214/aop/1023481118.

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