3 papers
math.PR2025
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.PR2023
Heat kernel fluctuations for stochastic processes on fractals and random media
Sebastian Andres, David Croydon, Takashi Kumagai
It is well-known that stochastic processes on fractal spaces or in certain random media exhibit anomalous heat kernel behaviour. One manifestation of such irregular behaviour is th…
math.PR2023
Heat kernel fluctuations and quantitative homogenization for the one-dimensional Bouchaud trap model
Sebastian Andres, David A. Croydon, Takashi Kumagai
We present on-diagonal heat kernel estimates and quantitative homogenization statements for the one-dimensional Bouchaud trap model. The heat kernel estimates are obtained using st…