On distributional spectrum of piecewise monotonic maps

DOI10.1007/S00010-022-00913-2OpenAlexW3113132747WikidataQ114232182 ScholiaQ114232182MaRDI QIDQ2697668

Vojtěch Pravec, Jan Tesarčík

Publication date: 13 April 2023

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.09578

zbMATH Keywords

omega-limit setdistributional chaospiecewise monotonic mapsspectrum of distributional functions

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05)

Cites Work

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• On the spectrum of dynamical systems on trees
• Piecewise invertible dynamical systems
• Topologically transitive subsets of piecewise monotonic maps, which contain no periodic points
• On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
• Distributional chaos and spectral decomposition on the circle
• Distributional (and other) chaos and its measurement
• Omega-limit sets and invariant chaos in dimension one
• Periodic points for piecewise monotonic transformations
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Stability of the maximal measure for piecewise monotonic interval maps
• The space of ω-limit sets of piecewise continuous maps of the interval

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