Escaping set and Julia set of transcendental semigroups
Dynamical Systems
2016-03-16 v2
Abstract
We discuss the dynamics of semigroups of transcendental entire functions using Fatou-Julia theory and provide a condition for the complete invariance of escaping set and Julia set of transcendental semigroups. Results regarding limit functions and postsingular set are also derived. In addition, classes of hyperbolic and postsingularly bounded transcendental semigroups are given. We also provide certain criterion for non existence of wandering domains of transcendental semigroups.
Keywords
Cite
@article{arxiv.1410.2747,
title = {Escaping set and Julia set of transcendental semigroups},
author = {Dinesh Kumar and Sanjay Kumar and Kin Keung Poon},
journal= {arXiv preprint arXiv:1410.2747},
year = {2016}
}
Comments
11 pages. Submitted for publication. Comments are welcome. arXiv admin note: text overlap with arXiv:1405.0224