• Corpus ID: 247618814

The moduli of annuli in random conformal geometry

  title={The moduli of annuli in random conformal geometry},
  author={Morris Ang and Guillaume Remy and Xin Sun},
. 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… 
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