Boundary Arm Exponents for SLE

2015/11/27 by Hao Wu, Wu, Hao
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Mathematics #Physics of Superconductivity and Magnetism #Probability (math.PR) #Theoretical and Computational Physics #math.PR

paper · pdf · doi:10.48550/arxiv.1511.08638

10 pages. This note explains the idea of the proof, and a more detailed version will appear soon as a joint work with Dapeng Zhan

openalex publication_date 2015/11/27 · arxiv created 2016/07/19 · arxiv updated 2016/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive boundary arm exponents and interior arm exponents for SLE(κ). Combining with the possible convergence of critical lattice models to SLE, these exponents would give the corresponding alternating half-plane arm exponents and alternating plane arm exponents for the lattice models.

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