The Symbolic Extension Theory in Topological Dynamics

2020/09/28 by Tomasz Downarowicz, Downarowicz, Tomasz, Guohua Zhang +1
Computer Science · Mathematics · #37B05 #37B10 #37C85 #43A07 #Cellular Automata and Applications #Computability, Logic, AI Algorithms #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2009.13223

openalex publication_date 2020/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this survey we will present the symbolic extension theory in topological dynamics, which was built over the past twenty years.

Citations

• Entropy Theory from the Orbital Point of View
• Mean topological dimension

Related

• Groups and Dynamics: Topology, Measure, and Borel Structure
• Symbolic extensions and uniform generators for topological regular flows
• Applied Symbolic Dynamics
• Uniform generators, symbolic extensions with an embedding, and structure of periodic orbits
• Symbolic dynamics and semigroup theory