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arXiv · 1406.0491

Liouville heat kernel: regularity and bounds

Pascal Maillard·Rémi Rhodes·Vincent Vargas·Ofer Zeitouni
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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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Pascal Maillard, Rémi Rhodes, Vincent Vargas, Ofer Zeitouni. 2018-06-19. Liouville heat kernel: regularity and bounds. https://doi.org/10.1214/15-aihp676

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