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 2013Show all

5 papers · 1 filter

math.PR2013★ 64 cited

Quantum Loewner Evolution

Jason Miller, Scott Sheffield

What is the scaling limit of diffusion limited aggregation (DLA) in the plane? This is an old and famously difficult question. One can generalize the question in two ways: first, o…

math.PR2013

Cut-off for lamplighter chains on tori: dimension interpolation and phase transition

Amir Dembo, Jian Ding, Jason Miller +1

Given a finite, connected graph $G$ , the lamplighter chain on $G$ is the lazy random walk $X^{⋄}$ on the associated lamplighter graph $G^{⋄} = Z_{2} ≀ G$ . The mix…

math.PR2013

Uniformity of the late points of random walk on Z_n^d for d >= 3

Jason Miller, Perla Sousi

Suppose that $X$ is a simple random walk on $Z_{n}^{d}$ for $d \geq 3$ and, for each $t$ , we let $\U(t)$ consist of those $x \in Z_{n}^{d}$ which have not been visited by $X$ by time $t$ …

math.PR2013

Intersections of SLE Paths: the double and cut point dimension of SLE

Jason Miller, Hao Wu

We compute the almost-sure Hausdorff dimension of the double points of chordal SLE_kappa for kappa > 4, confirming a prediction of Duplantier-Saleur (1989) for the contours of the…

math.PR2013

Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees

Jason Miller, Scott Sheffield

We establish existence and uniqueness for Gaussian free field flow lines started at {\em interior} points of a planar domain. We interpret these as rays of a random geometry with i…