Backward SLE and the symmetry of the welding

• 成果类型: Article
• 署名作者: Rohde, Steffen; Zhan, Dapeng
• 署名单位: University of Washington; University of Washington Seattle; Michigan State University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-015-0620-1
• 发表日期: 2016
• 页码: 815-863
• 关键词: chordal sle; SCALING LIMITS; Duality

摘要

The backward chordal Schramm-Loewner evolution naturally defines a conformal welding homeomorphism of the real line. We show that this homeomorphism is invariant under the automorphism , and conclude that the associated solution to the welding problem (which is a natural renormalized limit of the finite time Loewner traces) is reversible. The proofs rely on an analysis of the action of analytic circle diffeomorphisms on the space of hulls, and on the coupling techniques of the second author.