Two-sided heat kernel bounds for $\sqrt{8/3}$-Liouville Brownian motion

Sebastian Andres, Naotaka Kajino, Konstantinos Kavvadias +1

Liouville Brownian motion (LBM) is the canonical diffusion process on a Liouville quantum gravity (LQG) surface. In this work, we establish upper and lower bounds for the heat kern…