Nonstandard analysis of asymptotic points of expansive systems
Dynamical Systems
2024-12-16 v1 Logic
Abstract
In this paper we apply techniques from nonstandard analysis to study expansive dynamical systems. Among other results, we provide a necessary and sufficient condition for an expansive homeomorphism on a compact metric space to admit doubly-asymptotic points in terms of the decay of expansivity constants of the powers of the system.
Cite
@article{arxiv.2412.10201,
title = {Nonstandard analysis of asymptotic points of expansive systems},
author = {Alfonso Artigue and Luis Ferrari and Jorge Groisman},
journal= {arXiv preprint arXiv:2412.10201},
year = {2024}
}