Permutations and \(\beta \)-shifts

DOI10.1016/j.jcta.2011.06.011zbMath1232.05005arXiv1008.4167OpenAlexW1969695100MaRDI QIDQ640857

Sergi Elizalde

Publication date: 21 October 2011

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4167

zbMATH Keywords

dynamical systemshift mapforbidden patternconsecutive patternbeta-shiftreal base expansion

Mathematics Subject Classification ID

Permutations, words, matrices (05A05)

Related Items

Allowed Patterns of Symmetric Tent Maps via Commuter Functions, Patterns of negative shifts and signed shifts, Characterization of the allowed patterns of signed shifts, An upper bound on the number of \((132, 213)\)-avoiding cyclic permutations, Permutations and Negative Beta-Shifts, Characterizations and enumerations of patterns of signed shifts

Cites Work

• Descent sets of cyclic permutations
• \(\beta\)-expansions and symbolic dynamics
• On basic forbidden patterns of functions
• Forbidden patterns and shift systems
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• The Number of Permutations Realized By a Shift
• Symbolic dynamics for $\beta$-shifts and self-normal numbers
• Entropy of interval maps via permutations
• Mathematical Foundations of Computer Science 2005
• \(\beta\)-shifts have unique maximal measure