On Harmonic Measure of the Whole Plane Levy-Loewner Evolution

Abstract

Levy-Loewner evolution (LLE) is a generalization of the Schramm-Loewner evolution (SLE) where the branching is possible in a course of growth process. We consider a class of radial Levy-Loewner evolutions for which sets of points of the average means beta-spectrum can be found exactly. In this paper we show how to overcome difficulties arised in previous works on multi-fractal analysis of SLE/LLE.

Minor additions are made. Presentation is improved

References in corpus (6)

• Stochastic geometry of critical curves, Schramm-Loewner evolutions, and conformal field theory
• Schramm-Loewner Equations Driven by Symmetric Stable Processes
• Global properties of Stochastic Loewner evolution driven by Levy processes
• On Exact Multi-fractal Spectrum of the Whole-Plane SLE
• SLE_k: correlation functions in the coefficient problem
• The Coefficient Problem and Multifractality of Whole-Plane SLE and LLE

Cited by in corpus (3)

• Almost sure multifractal spectrum of SLE
• On Integrability and Exact Solvability in Deterministic and Stochastic Laplacian Growth
• Stochastic Loewner Evolutions, Fuchsian Systems and Orthogonal Polynomials