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Isaac Newton Institute for Mathematical Sciences

Transition density of Markov processes on fractal-like spaces

8th June 2007

Author: Alexander Grigor'yan (Bielefeld)

Abstract

We study the off-diagonal estimates for transition densities of diffusions and jump processes in a setting when they depend essentially only on the time and distance. We state the dichotomy for the tail of the transition density and provide necessary and sufficient conditions for each type of the estimates.