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arXiv:1406.0491 [math.PR]AbstractReferencesReviewsResources

Liouville heat kernel: regularity and bounds

Pascal Maillard, Rémi Rhodes, Vincent Vargas, Ofer Zeitouni

Published 2014-06-02, updated 2018-06-19Version 4

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.

Comments: 49 pages. Journal version
Journal: Ann. Inst. H. Poincar\'e Probab. Statist., 52(3), 1281-1320, 2016
Categories: math.PR, math-ph, math.MP
Subjects: 35K08, 60J60, 60K37, 60J55, 60J70
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