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The nested simple conformal loop ensembles in the Riemann sphere

Probability 2017-07-18 v2 Mathematical Physics math.MP

Abstract

Simple conformal loop ensembles (CLE) are a class of random collection of simple non-intersecting loops that are of particular interest in the study of conformally invariant systems. Among other things related to these CLEs, we prove the invariance in distribution of their nested "full-plane" versions under the inversion z1/zz \mapsto 1/z.

Keywords

Cite

@article{arxiv.1402.2433,
  title  = {The nested simple conformal loop ensembles in the Riemann sphere},
  author = {Antti Kemppainen and Wendelin Werner},
  journal= {arXiv preprint arXiv:1402.2433},
  year   = {2017}
}

Comments

V2: minor edits

R2 v1 2026-06-22T03:05:31.065Z