Slope problem for trajectories of holomorphic semigroups in the unit disc
Complex Variables
2014-06-16 v1 Dynamical Systems
Abstract
It has been an open problem for about ten years whether every trajectory of a parabolic one-parameter semigroup in the unit disk tends to the Denjoy-Wolff point with a definite (and common for all trajectories) slope. In this paper, we give the negative answer to this question.
Keywords
Cite
@article{arxiv.1406.3614,
title = {Slope problem for trajectories of holomorphic semigroups in the unit disc},
author = {Manuel D. Contreras and Santiago Diaz-Madrigal and Pavel Gumenyuk},
journal= {arXiv preprint arXiv:1406.3614},
year = {2014}
}