Minjae Park

activity

20202023

most citedBrownian loops and the central charge of a Liouville random surface

2 citations · 6 across the 7 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

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★ 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

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…