The natural extensions of β-transformations which generalize baker's transformations

DOI10.1088/0951-7715/22/2/004zbMath1178.37017OpenAlexW2010776160MaRDI QIDQ3605104

Do Yong Kwon

Publication date: 20 February 2009

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/22/2/004

zbMATH Keywords

symbolic dynamicsmechanical word\(\beta\)-shiftgeneralized baker's transformationnatural extensions of \(\beta\)-transformation

Mathematics Subject Classification ID

Combinatorics on words (68R15) Dynamical aspects of measure-preserving transformations (37A05) Symbolic dynamics (37B10)

Related Items (7)

Unnamed Item ⋮ 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 ⋮ POLYNOMIAL DECAY OF CORRELATIONS IN THE GENERALIZED BAKER'S TRANSFORMATION

This page was built for publication: The natural extensions of β-transformations which generalize baker's transformations