Escaping Set of Hyperbolic Semigroup

Bishnu Hari Subedi; Ajaya Singh

Escaping Set of Hyperbolic Semigroup

Dynamical Systems 2018-03-29 v1

Authors: Bishnu Hari Subedi , Ajaya Singh

Abstract

In this paper, we mainly study hyperbolic semigroups from which we get non-empty escaping set and Eremenko's conjecture remains valid. We prove that if each generator of bounded type transcendental semigroup S is hyperbolic, then the semigroup is itself hyperbolic and all components of I(S) are unbounded

Keywords

hyperbolic groups hyperbolic geometry semigroup theory

Cite

@article{arxiv.1803.10381,
  title  = {Escaping Set of Hyperbolic Semigroup},
  author = {Bishnu Hari Subedi and Ajaya Singh},
  journal= {arXiv preprint arXiv:1803.10381},
  year   = {2018}
}