Positive topological entropy implies chaos DC2

2011/10/24 by Tomasz Downarowicz, Downarowicz, Tomasz · 1 citation
Computer Science · Mathematics · #Cellular Automata and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #advanced mathematical theories #math.DS

paper · pdf · doi:10.48550/arxiv.1110.5201

arxiv created 2011/10/24 · openalex publication_date 2011/10/24 · arxiv updated 2011/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using methods of ergodic theory we prove as in the title.

Cited by

• Li-Yorke chaos on fuzzy dynamical systems

Related

• Topological entropy and distributional chaos in hereditary shifts with applications to spacing shifts and beta shifts
• Positive topological entropy and ℓ₁
• Topological entropy on set-valued functions
• Infinite topological entropy, positive mean dimension, and factors of subshifts
• A geometric approach to Voiculescu-Brown entropy