Shadowing Property for the free group acting in the circle

2019/06/14 by Jorge Iglesias, J. A. Sabater Iglesias, Aldo Portela +2
Mathematics · #Advanced Operator Algebra Research #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.DS

paper · pdf · doi:10.48550/arxiv.1906.06394

openalex publication_date 2019/06/14 · arxiv created 2019/08/05 · arxiv updated 2019/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the free group F₂ acting in S¹, we will prove that if the minimal set for the action is not a Cantor set, then the action does not have the shadowing property. We will also construct an example, whose minimal set is a Cantor set, that it has the shadowing property.

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