• Corpus ID: 247618814

# The moduli of annuli in random conformal geometry

@inproceedings{Ang2022TheMO,
title={The moduli of annuli in random conformal geometry},
author={Morris Ang and Guillaume Remy and Xin Sun},
year={2022}
}
• Published 23 March 2022
• Mathematics, Physics
. 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 the scaling limit of uniformly sampled planar maps with annular topology, which is as predicted from the ghost partition function in bosonic string theory. The second is for the law of the modulus of the annulus bounded by a loop of a simple conformal loop ensemble (CLE) on a disk and the disk…
1 Citations

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