• 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}
}
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… 
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8 Citations
Background Citations
3
Methods Citations
3
Results Citations
1

8 Citations

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The moduli of annuli in random conformal geometry
. We obtain exact formulae for three basic quantities in random conformal geometry that depend on the modulus of an annulus. The first is for the law of the modulus of the Brownian annulus describing…
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References

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