On conformally invariant CLE explorations

Details On conformally invariant CLE explorations On conformally invariant CLE explorations

2011-12-06

arxiv.org/abs/1112.1211v1

Mathematics

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Scientific paper

We study some conformally invariant dynamic ways to construct the Conformal
Loop Ensembles with simple loops introduced in earlier papers by Sheffield, and
by Sheffield and Werner. One seemingly interesting outcome is a conformally
invariant way to measure a distance of a CLE loop to the boundary "within" the
CLE, when one identifies all points of each loop.

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