Invariant measures, matching and the frequency of 0 for signed binary expansions

DOI10.4171/PRIMS/56-4-2zbMath1457.37054arXiv1703.06335MaRDI QIDQ2216022

Karma Dajani, Charlene Kalle

Publication date: 15 December 2020

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.06335

zbMATH Keywords

matchinginvariant measuresinterval mapsdigit frequencybinary expansionsNakada's \(\alpha \)-continued fractionssymmetric doubling maps

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15) Relations between ergodic theory and number theory (37A44)

Related Items (6)

Univoque graphs for non-integer base expansions ⋮ Random Lochs’ Theorem ⋮ The bifurcation locus for numbers of bounded type ⋮ Tanaka–Ito α-continued fractions and matching ⋮ Matching for random systems with an application to minimal weight expansions ⋮ On approximation by random Lüroth expansions

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