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2018 Chordal SLE$_6$ explorations of a quantum disk
Ewain Gwynne, Jason Miller
Electron. J. Probab. 23: 1-24 (2018). DOI: 10.1214/18-EJP161

Abstract

We consider a particular type of $\sqrt{8/3} $-Liouville quantum gravity surface called a doubly marked quantum disk (equivalently, a Brownian disk) decorated by an independent chordal SLE$_6$ curve $\eta $ between its marked boundary points. We obtain descriptions of the law of the quantum surfaces parameterized by the complementary connected components of $\eta ([0,t])$ for each time $t \geq 0$ as well as the law of the left/right $\sqrt{8/3} $-quantum boundary length process for $\eta $.

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Ewain Gwynne. Jason Miller. "Chordal SLE$_6$ explorations of a quantum disk." Electron. J. Probab. 23 1 - 24, 2018. https://doi.org/10.1214/18-EJP161

Information

Received: 31 January 2017; Accepted: 22 March 2018; Published: 2018
First available in Project Euclid: 26 July 2018

zbMATH: 06924678
MathSciNet: MR3835472
Digital Object Identifier: 10.1214/18-EJP161

Subjects:
Primary: 60D05, 60J67

JOURNAL ARTICLE
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