Harmonic measure and SLE

Abstract

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

References in corpus (4)

• Duality of Chordal SLE
• Critical curves in conformally invariant statistical systems
• On harmonic measure of critical curves
• Stochastic Loewner evolution driven by Levy processes

Cited by in corpus (14)

• Quantum Loewner Evolution
• Optimal Holder exponent for the SLE path
• Almost sure multifractal spectrum of SLE
• A Dimension Spectrum for SLE Boundary Collisions
• On Harmonic Measure of the Whole Plane Levy-Loewner Evolution
• On Exact Multi-fractal Spectrum of the Whole-Plane SLE
• Integral means spectrum of whole-plane SLE
• SLE_k: correlation functions in the coefficient problem
• A multifractal boundary spectrum for SLE${}_{\kappa }(\rho )$
• On Integrability and Exact Solvability in Deterministic and Stochastic Laplacian Growth
• Stochastic Loewner Evolutions, Fuchsian Systems and Orthogonal Polynomials
• Refined regularity of SLE
• Regularity of the Schramm-Loewner evolution: Up-to-constant variation and modulus of continuity
• On Loewner chains driven by semimartingales and complex Bessel-type SDEs