Sub-Gaussian short time asymptotics for measure metric Dirichlet spaces

Details Sub-Gaussian short time asymptotics for measure metric Dirichlet spaces Sub-Gaussian short time asymptotics for measure metric Dirichlet spaces

2006-08-24

arxiv.org/abs/math/0608615v1

Journal of Theoretical Probability ( 2006)

Mathematics

Probability

Scientific paper

10.1007/s10959-006-0031-4

This paper presents estimates for the distribution of the exit time from balls and short time asymptotics for measure metric Dirichlet spaces. The estimates cover the classical Gaussian case, the sub-diffusive case which can be observed on particular fractals and further less regular cases as well. The proof is based on a new chaining argument and it is free of volume growth assumptions.

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