Harmonic Measure and SLE

2008/01/11 by D. Beliaev, S. Smirnov · 26 citations
Mathematics · #Analytic and geometric function theory #Complex system #Exponent #Harmonic #Harmonic measure #Holomorphic and Operator Theory #Mathematical Dynamics and Fractals #Measure (data warehouse) #Multifractal system #Spectrum (functional analysis) #math.CV #math.PR

paper · pdf · doi:10.1007/s00220-009-0864-7

published in Communications in Mathematical Physics 290(2), 577-595 (Springer Science+Business Media)

arxiv created 2008/01/11 · openalex publication_date 2009/07/06 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this paper we rigorously compute the average multifractal spectrum of harmonic measure on the boundary of SLE clusters.

Citations

• Critical curves in conformally invariant statistical systems
• Scaling limits of loop-erased random walks and uniform spanning trees
• Hausdorff dimensions for SLE6