Exceptional parameters of linear mod one transformations and fractional parts \(\{ \xi (p/q)^n \}\)

DOI10.1016/J.CRMA.2015.01.017zbMath1323.11060OpenAlexW2081168163MaRDI QIDQ2018264

Do Yong Kwon

Publication date: 13 April 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.01.017

zbMATH Keywords

Sturmian wordsHausdorff dimensionexceptional parameterslinear mod one transformationMahler's Z-number problem

Mathematics Subject Classification ID

Combinatorics on words (68R15) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Distribution modulo one (11J71) Special sequences (11K31)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A two-dimensional singular function via Sturmian words in base \(\beta\)
• Moments of discrete measures with dense jumps induced by \(\beta\)-expansions
• Fractional parts of powers and Sturmian words
• THE ORBIT OF A β-TRANSFORMATION CANNOT LIE IN A SMALL INTERVAL
• A devil's staircase from rotations and irrationality measures for Liouville numbers
• The natural extensions of β-transformations which generalize baker's transformations
• Powers of a rational number modulo 1 cannot lie in a small interval
• Linear mod one transformations and the distribution of fractional parts {ξ(p/q)ⁿ}
• On the range of fractional parts {ξ(p/q)ⁿ}
• An unsolved problem on the powers of 3/2

This page was built for publication: Exceptional parameters of linear mod one transformations and fractional parts \(\{ \xi (p/q)^n \}\)