2 papers
math.PR2026
Two-sided heat kernel bounds for -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…
math.PR2024
SLE processes in the light cone regime on Liouville quantum gravity
Konstantinos Kavvadias, Jason Miller
We study the relationship between certain SLE processes, which are variants of the Schramm-Loewner evolution with parameter in which one keeps track of an extra marke…