Completely Invariant Escaping Set of Transcendental Semigroup
Dynamical Systems
2018-05-01 v1
Abstract
For a non-trivial transcendental semigroup, escaping set I(S) is in general S-forward invariant and it is S-completely invariant if semigroup S is abelian. In the contrary of this result, we investigate completely invariant escaping set K(S) in different way even if semigroup S is not abelian and we discuss some properties and structure of such type of escaping set. Also, we establish some relations between completely invariant escaping set K(S) and the general escaping set I(S).
Keywords
Cite
@article{arxiv.1804.11252,
title = {Completely Invariant Escaping Set of Transcendental Semigroup},
author = {Bishnu Hari Subedi and Ajaya Singh},
journal= {arXiv preprint arXiv:1804.11252},
year = {2018}
}
Comments
9 pages. arXiv admin note: text overlap with arXiv:1803.10381