Reversibility of chordal SLE
type: Item
instance of: scholarly article
title: Reversibility of chordal SLE
zbMATH Open document ID: 1157.60051
DOI: 10.1214/07-AOP366
author: Dapeng Zhan
published in: The Annals of Probability
publication date: 2008-09-04T00:00:00Z
full work available at URL: https://arxiv.org/abs/0808.3649
review text: The paper deals with the theory of stochastic Loewner evolutions (SLEs) as introduced by the works of \textit{O. Schramm} [Isr. J. Math. 118, 221--288 (2000; Zbl 0968.60093)] to describe the Markovian scaling limits of some lattice models. The author proves a theorem on the invariance of probability distributions related to chordal SLEs for certain parameter values. It is shown that the chordal SLE\(_{\kappa}\) trace is reversible for \(\kappa \in (0, 4]\).
reviewed by: Henri Schurz
Mathematics Subject Classification ID: 60G99
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 5321188
zbMATH Keywords: stochastic Loewner evolutions (SLEs)
zbMATH Keywords: chordal SLEs
zbMATH Keywords: SLE trace
zbMATH Keywords: reversibility
zbMATH Keywords: coupling measures
zbMATH Keywords: scaling limits
zbMATH Keywords: Brownian motion
zbMATH Keywords: martingales
MaRDI profile type: Publication
arXiv ID: 0808.3649
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OpenAlex ID: W3104244307
description: scientific article