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Liouville heat kernel: regularity and bounds

Abstract : We initiate in this paper the study of analytic properties of the Liouville heat kernel. In particular, we establish regularity estimates on the heat kernel and derive non trivial lower and upper bounds.
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https://hal-upec-upem.archives-ouvertes.fr/hal-01071015
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Submitted on : Thursday, October 2, 2014 - 9:34:43 PM
Last modification on : Friday, October 15, 2021 - 1:37:23 PM
Long-term archiving on: : Saturday, January 3, 2015 - 11:30:11 AM

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  • HAL Id : hal-01071015, version 1
  • ARXIV : 1406.0491

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Pascal Maillard, Rémi Rhodes, Vincent Vargas, Ofer Zeitouni. Liouville heat kernel: regularity and bounds. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), 2016, 52 (3). ⟨hal-01071015⟩

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