Harmonic measures of slit sides perpendicular to the domain boundary
Complex Variables
2012-01-24 v1
Abstract
The article is devoted to the geometry of solutions to the chordal Loewner equation which is based on comparison of singular solutions and harmonic measures for the sides of a slit in domains generated by a driving term. It is proved that harmonic measures of two sides of a slit in the upper half-plane which is perpendicular to the real axis are asymptotically equal to each other.
Keywords
Cite
@article{arxiv.1201.4750,
title = {Harmonic measures of slit sides perpendicular to the domain boundary},
author = {Dmitri Prokhorov and Andrey Zakharov},
journal= {arXiv preprint arXiv:1201.4750},
year = {2012}
}
Comments
8 pages