The covariant measure of SLE on the boundary
成果类型：
Article
署名作者：
Alberts, Tom; Sheffield, Scott
署名单位：
University of Toronto; Massachusetts Institute of Technology (MIT)
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-009-0252-4
发表日期：
2011
页码：
331-371
关键词：
摘要：
We construct a natural measure mu supported on the intersection of a chordal SLE(kappa) curve gamma with R, in the range 4 < kappa < 8. The measure is a function of the SLE path in question. Assuming that boundary measures transform in a d-dimensional way (where d is the Hausdorff dimension of gamma boolean AND R), we show that the measure we construct is (up to multiplicative constant) the unique measure-valued function of the SLE path that satisfies the Domain Markov property.
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