Jason Miller

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20242026

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math.PR2026

The conformally invariant metric on CLE $_{4}$ I: subsequential limits of the non-simple CLE graph metric

Emmanuel Kammerer, Konstantinos Kavvadias, Jason Miller +1

We consider the conformal loop ensemble (CLE) with the parameter $κ = 4$ , the critical value at or below which the loops are simple and do not intersect each other or the domain boun…

math.PR2025

Two-sided heat kernel bounds for $8/3$ -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…

math.PR2024

SLE $_{κ} (ρ)$ processes in the light cone regime on Liouville quantum gravity

Konstantinos Kavvadias, Jason Miller

We study the relationship between certain SLE $_{κ} (ρ)$ processes, which are variants of the Schramm-Loewner evolution with parameter $κ$ in which one keeps track of an extra marked p…

The conformally invariant metric on CLE4​ I: subsequential limits of the non-simple CLE graph metric

Two-sided heat kernel bounds for 8/3​-Liouville Brownian motion

SLEκ​(ρ) processes in the light cone regime on Liouville quantum gravity

The conformally invariant metric on CLE $_{4}$ I: subsequential limits of the non-simple CLE graph metric

Two-sided heat kernel bounds for $8/3$ -Liouville Brownian motion

SLE $_{κ} (ρ)$ processes in the light cone regime on Liouville quantum gravity