On Harmonic Measure of the Whole Plane Levy-Loewner Evolution
Mathematical Physics
2019-02-26 v3 Statistical Mechanics
Complex Variables
math.MP
Probability
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.
Keywords
Cite
@article{arxiv.1301.6508,
title = {On Harmonic Measure of the Whole Plane Levy-Loewner Evolution},
author = {Igor Loutsenko and Oksana Yermolayeva},
journal= {arXiv preprint arXiv:1301.6508},
year = {2019}
}
Comments
Minor additions are made. Presentation is improved