Liouville heat kernel: regularity and bounds
Probability
2018-06-20 v4 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1406.0491,
title = {Liouville heat kernel: regularity and bounds},
author = {Pascal Maillard and Rémi Rhodes and Vincent Vargas and Ofer Zeitouni},
journal= {arXiv preprint arXiv:1406.0491},
year = {2018}
}
Comments
49 pages. Journal version