Small-time Gaussian behavior of symmetric diffusion semigroups

• 成果类型: Article
• 署名作者: Hino, M; Ramírez, JA
• 署名单位: Kyoto University; Cornell University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2003
• 页码: 1254-1295
• 关键词: logarithmic sobolev inequalities; pinned wiener measure; heat kernel measure; loop-groups; RIEMANNIAN-MANIFOLDS; fundamental solution; quasi-invariance; brownian-motion; path groups; SPACES

摘要

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.