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 2020 · math.PRShow all

3 papers · 2 filters

math.PR2020★ 5 cited

Geodesics in the Brownian map: Strong confluence and geometric structure

Jason Miller, Wei Qian

We study geodesics in the Brownian map $(S, d, ν)$ , the random metric measure space which arises as the Gromov-Hausdorff scaling limit of uniformly random planar maps. Our…

math.PR2020

Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces

Jason Miller, Scott Sheffield, Wendelin Werner

We study the structure of the Liouville quantum gravity (LQG) surfaces that are cut out as one explores a conformal loop-ensemble CLE $_{κ^{'}}$ for $κ^{'}$ in $(4, 8)$ that is drawn on an…

math.PR2020★ 1 cited

Simple Conformal Loop Ensembles on Liouville Quantum Gravity

Jason Miller, Scott Sheffield, Wendelin Werner

We show that when one draws a simple conformal loop ensemble (CLE $_{κ}$ for $κ \in (8/3, 4)$ ) on an independent $κ$ -Liouville quantum gravity (LQG) surface and explores the CLE in…