Multiple SLEs and Dyson Brownian motion: transition density and Green's function

Chongzhi Huang; Hao Wu; Lu Yang

paper

Multiple SLEs and Dyson Brownian motion: transition density and Green's function

arXiv:2311.06789

Abstract

We consider multiple chordal Schramm-Loewner evolution (SLE) with $κ \in (0, 4]$ . Under common-time parameterization, we show that the transition density of the driving function of multiple chordal SLEs can be given by the transition density of Dyson Brownian motion and Green's function. This is a companion paper of [FWY24].

arXiv comment23 pages, 2 figures, to appear in Journal of Theoretical Probability