Minimality and Gluing Orbit Property

2018/08/02 by Peng Sun, Sun, Peng
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #37B05 #37B20 #37B40 #37C50 #Dynamical Systems (math.DS) #FOS: Mathematics #Fractal and DNA sequence analysis #Mathematical Dynamics and Fractals #Origins and Evolution of Life

paper · pdf · doi:10.48550/arxiv.1808.00985

openalex publication_date 2018/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that a topological dynamical system is either minimal or have positive topological entropy. Moreover, for equicontinuous systems, we show that topological transitivity, minimality and orbit gluing property are equivalent. These facts reflect the similarity and dissimilarity of gluing orbit property with specification property.

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