The set of limiting realizable values of topological entropy of continuous mappings of a Cantor set

DOI10.3103/S0027132223030087OpenAlexW4385934216MaRDI QIDQ6052275

A. N. Vetokhin

Publication date: 21 September 2023

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132223030087

zbMATH Keywords

symbolic dynamicstopological entropy

Mathematics Subject Classification ID

Continuous maps (54C05) Topological entropy (37B40) Symbolic dynamics (37B10)

Cites Work

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• Family of dynamical systems whose topological entropy is nowhere upper semicontinuous
• The set of lower semi-continuity points of topological entropy of a continuous one-parametric family of dynamical systems
• Typical property of the topological entropy of continuous mappings of compact sets
• The topological entropy on a space of homeomorphisms does not belong to the first Baire class
• ON THE RELATIONS AMONG VARIOUS ENTROPY CHARACTERISTICS OF DYNAMICAL SYSTEMS

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