2007/09/13 by Nathan Deutscher, Murray T. Batchelor, Murray T Batchelor
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #math-ph #math.MP #msc:82B41
paper · pdf · doi:10.1088/1751-8113/41/3/035001
published as J. Phys. A 41 (2008) 035001 · 12 pages, 3 figures
arxiv created 2007/09/13 · openalex publication_date 2008/01/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
This paper employs Schramm–Loewner evolution to obtain intersection exponents for several chordal SLE 8/3 curves in a wedge. As SLE 8/3 is believed to describe the continuum limit of self-avoiding walks, these exponents correspond to those obtained by Cardy, Duplantier and Saleur for self-avoiding walks in an arbitrary wedge-shaped geometry using conformal invariance-based arguments. Our approach builds on work by Werner, where the restriction property for SLE(κ, ρ) processes and an absolute continuity relation allow the calculation of such exponents in the half-plane. Furthermore, the method by which these results are extended is general enough to apply to the new class of hiding exponents introduced by Werner.