S. Sheffield

activity

20002023

most citedTug-of-war and the infinity Laplacian

374 citations · 1.2k across the 68 of their papers we have counts for

collaborators

86 papers

math.PR2023★ 1 cited

Random surfaces and lattice Yang-Mills

Sky Cao, Minjae Park, Scott Sheffield

We study Wilson loop expectations in lattice Yang-Mills models with a compact Lie group $G$ . Using tools recently introduced in a companion paper, we provide alternate derivations,…

math.PR2023

Sums of GUE matrices and concentration of hives from correlation decay of eigengaps

Hariharan Narayanan, Scott Sheffield, Terence Tao

Associated to two given sequences of eigenvalues $λ_{1} \geq \dots \geq λ_{n}$ and $μ_{1} \geq \dots \geq μ_{n}$ is a natural polytope, the polytope of augmented hives with the specified b…

math.PR2023

Scaling limits of planar maps under the Smith embedding

Federico Bertacco, Ewain Gwynne, Scott Sheffield

The Smith embedding of a finite planar map with two marked vertices, possibly with conductances on the edges, is a way of representing the map as a tiling of a finite cylinder by r…

math.PR2023★ 1 cited

Wilson loop expectations as sums over surfaces on the plane

Minjae Park, Joshua Pfeffer, Scott Sheffield +1

Although lattice Yang-Mills theory on finite subgraphs of $Z^{d}$ is easy to rigorously define, the construction of a satisfactory continuum theory on $R^{d}$ is a majo…

math.PR2023★ 2 cited

Large deviations for the 3D dimer model

Nishant Chandgotia, Scott Sheffield, Catherine Wolfram

In 2000, Cohn, Kenyon and Propp studied uniformly random perfect matchings of large induced subgraphs of $Z^{2}$ (a.k.a. dimer configurations or domino tilings) and developed…

math.PR2023

Brownian loops on non-smooth surfaces and the Polyakov-Alvarez formula

Minjae Park, Joshua Pfeffer, Scott Sheffield

Let $ρ$ be compactly supported on $D \subset R^{2}$ . Endow $R^{2}$ with the metric $e^{ρ} (d x_{1}^{2} + d x_{2}^{2})$ . As $δ \to 0$ the set of Brownian loops centered in $D$ with le…