THE ORBIT OF A β-TRANSFORMATION CANNOT LIE IN A SMALL INTERVAL

DOI10.4134/JKMS.2012.49.4.867zbMath1258.11050OpenAlexW2076112506MaRDI QIDQ2898906

Do Yong Kwon

Publication date: 12 July 2012

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

Full work available at URL: https://doi.org/10.4134/jkms.2012.49.4.867

zbMATH Keywords

Sturmian word\(\beta\)-expansionChristoffel word\(\beta\)-transformation

Mathematics Subject Classification ID

Combinatorics on words (68R15) Radix representation; digital problems (11A63) Symbolic dynamics (37B10) Automata sequences (11B85)

Related Items (5)

Moments of discrete measures with dense jumps induced by \(\beta\)-expansions ⋮ A one-parameter family of Dirichlet series whose coefficients are Sturmian words ⋮ Exceptional parameters of linear mod one transformations and fractional parts \(\{ \xi (p/q)^n \}\) ⋮ A two-dimensional singular function via Sturmian words in base \(\beta\) ⋮ Sturmian words and Cantor sets arising from unique expansions over ternary alphabets

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