• Corpus ID: 221761489

# Conformal welding of quantum disks

@article{Ang2020ConformalWO,
title={Conformal welding of quantum disks},
author={Morris Ang and Nina Holden and Xin Sun},
journal={arXiv: Probability},
year={2020}
}
• Published 17 September 2020
• Physics
• arXiv: Probability
Two-pointed quantum disks are a family of finite-area random surfaces that arise naturally in Liouville quantum gravity. In this paper we show that conformally welding two quantum disks according to their boundary lengths gives another quantum disk decorated with a chordal SLE curve. This extends the classical result of Sheffield (2010) and Duplantier-Miller-Sheffield (2014) on the welding of infinite-area two-pointed quantum surfaces, which is fundamental to the mating-of-trees theory. Our…
8 Citations

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