Jason Miller

activity

20082026

most citedLiouville quantum gravity and the Brownian map I: The QLE(8/3,0) metric

107 citations · 484 across the 43 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.PR2019★ 3 cited

Conformal covariance of the Liouville quantum gravity metric for $γ \in (0, 2)$

Ewain Gwynne, Jason Miller

For $γ \in (0, 2)$ , $U \subset C$ , and an instance $h$ of the Gaussian free field (GFF) on $U$ , the $γ$ -Liouville quantum gravity (LQG) surface associated with $(U, h)$ is form…

math.PR2019★ 4 cited

Existence and uniqueness of the Liouville quantum gravity metric for $γ \in (0, 2)$

Ewain Gwynne, Jason Miller

We show that for each $γ \in (0, 2)$ , there is a unique metric (i.e., distance function) associated with $γ$ -Liouville quantum gravity (LQG). More precisely, we show that for the who…

math.PR2019

Confluence of geodesics in Liouville quantum gravity for $γ \in (0, 2)$

Ewain Gwynne, Jason Miller

We prove that for any metric which one can associate with a Liouville quantum gravity (LQG) surface for $γ \in (0, 2)$ satisfying certain natural axioms, its geodesics exhibit the fo…

math.PR2019

Local metrics of the Gaussian free field

Ewain Gwynne, Jason Miller

We introduce the concept of a local metric of the Gaussian free field (GFF) $h$ , which is a random metric coupled with $h$ in such a way that it depends locally on $h$ in a certain…

Conformal covariance of the Liouville quantum gravity metric for γ∈(0,2)

Existence and uniqueness of the Liouville quantum gravity metric for γ∈(0,2)

Confluence of geodesics in Liouville quantum gravity for γ∈(0,2)

Local metrics of the Gaussian free field

Conformal covariance of the Liouville quantum gravity metric for $γ \in (0, 2)$

Existence and uniqueness of the Liouville quantum gravity metric for $γ \in (0, 2)$

Confluence of geodesics in Liouville quantum gravity for $γ \in (0, 2)$