On conjugacies of the \(3x+1\) map induced by continuous endomorphisms of the shift dynamical system

DOI10.1016/j.disc.2010.02.009zbMath1282.37014OpenAlexW2069985917MaRDI QIDQ973111

Keenan Monks, Benjamin Kraft

Publication date: 28 May 2010

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2010.02.009

zbMATH Keywords

conjugacysymbolic dynamicsshift map\(3x+1\) conjecture

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05)

Related Items (1)

The Collatz conjecture and de Bruijn graphs

Cites Work

• Unnamed Item
• Endomorphisms of the shift dynamical system, discrete derivatives, and applications
• The dynamical system generated by the \(3n+1\) function
• The autoconjugacy of the \(3x+1\) function.
• The 3x + 1 Problem and Its Generalizations
• A Non-Iterative 2-Adic Statement of the 3N + 1 Conjecture
• Endomorphisms and automorphisms of the shift dynamical system

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