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Dynamical properties of the tent map

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Publication:2801735
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DOI10.1112/jlms/jdv071zbMath1360.37041OpenAlexW2315762862MaRDI QIDQ2801735

Victor F. Sirvent, Klaus Scheicher, Paul Surer

Publication date: 21 April 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/jdv071

zbMATH Keywords

Pisot numberbeta-expansiontent mapsperiodicity of orbits


Mathematics Subject Classification ID

Combinatorics on words (68R15) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Automata sequences (11B85)




Cites Work

  • Unnamed Item
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  • Asymmetric tent map expansions. II: Purely periodic points
  • Dynamical representation of real numbers and its universality
  • Generalized radix representations and dynamical systems. I
  • Representations for real numbers and their ergodic properties
  • On Periodic Expansions of Pisot Numbers and Salem Numbers
  • There are Only Eleven Special Pisot Numbers
  • Asymmetric Tent Map Expansions. I. Eventually Periodic Points
  • An Introduction to Symbolic Dynamics and Coding
  • Beta-expansions, natural extensions and multiple tilings associated with Pisot units
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