Open Access
July 2003 Small-time Gaussian behavior of symmetric diffusion semi-groups
Masanori Hino, José A. Ramírez
Ann. Probab. 31(3): 1254-1295 (July 2003). DOI: 10.1214/aop/1055425779


This work is involved with the short-time asymptotics of diffusion semigroups in a general setting. A generalization of Fang's version of Varadhan's formula is proven for general Dirichlet spaces that are local and conservative. The intrinsic metric appearing in the formula is characterized by pointwise distance for canonical Dirichlet spaces on loop groups.


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Masanori Hino. José A. Ramírez. "Small-time Gaussian behavior of symmetric diffusion semi-groups." Ann. Probab. 31 (3) 1254 - 1295, July 2003.


Published: July 2003
First available in Project Euclid: 12 June 2003

zbMATH: 1085.31008
MathSciNet: MR1988472
Digital Object Identifier: 10.1214/aop/1055425779

Primary: 31C25 , 47D07 , 60J60
Secondary: 58J65

Keywords: Dirichlet spaces , heat kernel , Intrinsic metric , loop group. , short-time asymptotics

Rights: Copyright © 2003 Institute of Mathematical Statistics

Vol.31 • No. 3 • July 2003
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