Hetero-dimensional baker maps and Dyck shifts

2023/02/06 by Henk Bruin, Bruin, Henk, Werner Petti +1
Computer Science · Mathematics · Physics and Astronomy · #37A35 #37B10 28A65 #37D45 #Cellular Automata and Applications #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2302.02679

openalex publication_date 2023/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give piecewise affine maps on the unit cube whose symbolic representation is the Dyck shift. This leads to a different way of verifying the chaotic nature of this system, including the computation of entropy.

Related

• The dynamics of the heterochaos baker maps
• Heterochaos baker maps and the Dyck system: maximal entropy measures and a mechanism for the breakdown of entropy approachability
• Distributions of periodic points for the Dyck shift and the heterochaos baker maps
• Exponential mixing for heterochaos baker maps and the Dyck system
• The Manneville map: topological, metric and algorithmic entropy