Trajectories of semigroups of holomorphic functions and harmonic measure
Complex Variables
2019-02-13 v1
Abstract
We give an explicit relation between the slope of the trajectory of a semigroup of holomorphic functions and the harmonic measure of the associated planar domain . We use this to construct a semigroup whose slope is an arbitrary interval in . The same method is used for the slope of a backward trajectory approaching a super-repulsive fixed point.
Keywords
Cite
@article{arxiv.1902.03426,
title = {Trajectories of semigroups of holomorphic functions and harmonic measure},
author = {Georgios Kelgiannis},
journal= {arXiv preprint arXiv:1902.03426},
year = {2019}
}
Comments
12 pages, 1 figure