Rate of convergence in multiple SLE using random matrix theory Journal Article

Overview

In this paper, we provide a rate of convergence for a version of the Carathéodory convergence for the multiple SLE model with a Dyson Brownian motion driver towards its hydrodynamic limit, for [Formula: see text] and [Formula: see text]. The results are obtained by combining techniques from the field of Schramm–Loewner Evolutions with modern techniques from random matrices. Our approach shows how one can apply modern tools used in the proof of universality in random matrix theory to the field of Schramm–Loewner Evolutions.