MINKOWSKI CONTENT AND NATURAL PARAMETERIZATION FOR THE SCHRAMM-LOEWNER EVOLUTION

• 成果类型: Article
• 署名作者: Lawler, Gregory F.; Rezaei, Mohammad A.
• 署名单位: University of Chicago
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/13-AOP874
• 发表日期: 2015
• 页码: 1082-1120
• 关键词: uniform spanning-trees; erased random-walks; conformal-invariance; SCALING LIMITS; sle-curves; parametrization; path

摘要

We prove the existence and nontriviality of the d-dimensional 4 Minkowski content for the Schramm-Loewner evolution (SLE kappa) with kappa < 8 and d = 1 + kappa/8 We show that this is a multiple of the natural parameterization.