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arXiv · 2412.10201

Nonstandard analysis of asymptotic points of expansive systems

Alfonso Artigue·Luis Ferrari·Jorge Groisman
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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.

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Alfonso Artigue, Luis Ferrari, Jorge Groisman. 2024-12-13. Nonstandard analysis of asymptotic points of expansive systems. https://arxiv.org/abs/2412.10201

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