Real 3𝑥+1

DOI10.1090/S0002-9939-04-07696-8zbMath1058.37006OpenAlexW1919107742MaRDI QIDQ3155942

Michał Misiurewicz, Ana Rodrigues

Publication date: 5 January 2005

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07696-8

zbMATH Keywords

periodic orbitperiodic pointssemigroups of transformations\(3x+1\) problemminimal actionsdense trajectories

Mathematics Subject Classification ID

Related Items (1)

On free semigroups of affine maps on the real line

Cites Work

• The group generated by \(x\mapsto x+1\) and \(x\mapsto x^ p\) is free
• The dynamical system generated by the \(3n+1\) function
• The topological dynamics of semigroup actions
• ×2 and ×3 invariant measures and entropy
• The 3x + 1 Problem and Its Generalizations
• The set of rational cycles for the 3x+1 problem
• THE GROUP OF TRANSLATIONS AND POSITIVE RATIONAL POWERS IS FREE
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