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arXiv · 2210.05255

Liouville heat kernel upper bounds at large distances

Yang Yu
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Abstract

We show that the Liouville heat kernel decays fast at large distances. In particular, the Liouville semigroup $T_t$ is $C_0$-Feller, where $C_0$ is the space of real-valued continuous functions on $\mathbb C$ vanishing at infinity.

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Yang Yu. 2022-10-11. Liouville heat kernel upper bounds at large distances. https://arxiv.org/abs/2210.05255

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