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math.PR2015
Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula
Alexander Grigor'yan, Naotaka Kajino
We prove that for a general diffusion process, certain assumptions on its behavior \emph{only within a fixed open subset} of the state space imply the existence and sub-Gaussian ty…
math.PR2012
Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities
Alexander Grigor'yan, Shunxiang Ouyang, Michael Röckner
We prove upper and lower bounds of the heat kernel for the operator in $\mathbb{R}^{n}\setminus\{0} $ where . We obtain these bounds…