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- W2810913296 abstract "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 type off-diagonal upper bounds of the emph{global} heat kernel on the fixed open set. The proof is mostly probabilistic and is based on a seemingly new formula, which we call a emph{multiple Dynkin-Hunt formula}, expressing the transition function of a Hunt process in terms of that of the part process on a given open subset. This result has an application to heat kernel analysis for the emph{Liouville Brownian motion}, the canonical diffusion in a certain random geometry of the plane induced by a (massive) Gaussian free field." @default.
- W2810913296 created "2018-07-10" @default.
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- W2810913296 date "2015-02-01" @default.
- W2810913296 modified "2023-10-07" @default.
- W2810913296 title "Localized heat kernel upper bounds for diffusions via a multiple Dynkin-Hunt formula" @default.
- W2810913296 hasPublicationYear "2015" @default.
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