The nested simple conformal loop ensembles in the Riemann sphere

• 成果类型: Article
• 署名作者: Kemppainen, Antti; Werner, Wendelin
• 署名单位: University of Helsinki; Swiss Federal Institutes of Technology Domain; ETH Zurich
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-015-0647-3
• 发表日期: 2016
• 页码: 835-866
• 关键词: sle

摘要

Simple conformal loop ensembles (CLE) are random collections 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 z bar right arrow 1/z.