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 2022 · math.PRShow all

2 papers · 2 filters

math.PR2022

On the geometry of uniform meandric systems

Jacopo Borga, Ewain Gwynne, Minjae Park

A meandric system of size $n$ is the set of loops formed from two arc diagrams (non-crossing perfect matchings) on ${1, \dots, 2 n}$ , one drawn above the real line and the other bel…

math.PR2022

Loewner evolution driven by complex Brownian motion (with simulations by Minjae Park)

Ewain Gwynne, Joshua Pfeffer

We study the Loewner evolution whose driving function is $W_{t} = B_{t}^{1} + i B_{t}^{2}$ , where $(B^{1}, B^{2})$ is a pair of Brownian motions with a given covariance matrix. This model can be…