Sub-Gaussian Short Time Asymptotics for Measure Metric Dirichlet Spaces

András Telcs ()
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András Telcs: University of Technology and Economics Budapest

Journal of Theoretical Probability, 2006, vol. 19, issue 3, 631-645

Abstract: Abstract 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.

Keywords: Short time asymptotics; Dirichlet forms; diffusion; Harnack inequality; 31C05; 60J45; 60J60 (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10959-006-0031-4

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