Specification for Group Actions on Uniform Spaces
Dynamical Systems
2019-06-25 v1
Abstract
We extend specification and periodic specification to finitely generated group actions on uniform spaces using a concept of specification point. We prove that certain group actions having two distinct specification points have positive entropy. We further prove that if a group containing an infinite order element acts on an infinite Hausdorff uniform space and the action possesses periodic specification, then it is Devaney chaotic.
Keywords
Cite
@article{arxiv.1906.09805,
title = {Specification for Group Actions on Uniform Spaces},
author = {Abdul Gaffar Khan and Pramod Kumar Das and Tarun Das},
journal= {arXiv preprint arXiv:1906.09805},
year = {2019}
}
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11 pages