On Exact Multi-fractal Spectrum of the Whole-Plane SLE

Abstract

We consider the whole-plane Shramm-Loewner evolution. Using exact solutions of fundamental equations for moments of derivative of conformal mappings we determine its average integral means beta-spectrum.

Significantly updated version. arXiv admin note: substantial text overlap with arXiv:1201.4381

References in corpus (2)

• Stochastic geometry of critical curves, Schramm-Loewner evolutions, and conformal field theory
• SLE_k: correlation functions in the coefficient problem

Cited by in corpus (4)

• Almost sure multifractal spectrum of SLE
• On Harmonic Measure of the Whole Plane Levy-Loewner Evolution
• Integral means spectrum of whole-plane SLE
• Stochastic Loewner Evolutions, Fuchsian Systems and Orthogonal Polynomials