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Authors: SHUNJI ITO

On numbers having finite beta-expansions

JOURNAL ARTICLE published October 2009 in Ergodic Theory and Dynamical Systems

Authors: TOUFIK ZAÏMI

Exact Diophantine approximation of real numbers by $ beta $-expansions

JOURNAL ARTICLE published 2024 in Discrete and Continuous Dynamical Systems

Authors: Xinyun Zhang | Wenmin Zhong

On the beta-expansions of 1 and algebraic numbers for a Salem number beta

JOURNAL ARTICLE published June 2015 in Ergodic Theory and Dynamical Systems

Authors: HAJIME KANEKO

Beta-expansions of -adic numbers

JOURNAL ARTICLE published May 2016 in Ergodic Theory and Dynamical Systems

Authors: KLAUS SCHEICHER | VÍCTOR F. SIRVENT | PAUL SURER

BETA-INTEGERS AS A GROUP

PROCEEDINGS ARTICLE published July 2000 in Dynamical Systems

Authors: ČESTMIR BURDíK | CHRISTIANE FROUGNY | JEAN-PIERRE GAZEAU | RUDOLPH KREJCAR

Periodic unique beta-expansions: the Sharkovskiĭ ordering

JOURNAL ARTICLE published August 2009 in Ergodic Theory and Dynamical Systems

Authors: JEAN-PAUL ALLOUCHE | MATTHEW CLARKE | NIKITA SIDOROV

Simple ${bi C}^*$-algebras arising from ${beta}$-expansion of real numbers

JOURNAL ARTICLE published August 1998 in Ergodic Theory and Dynamical Systems

Authors: YOSHIKAZU KATAYAMA | KENGO MATSUMOTO | YASUO WATATANI

Localisation of algebraic integers and polynomial iteration

OTHER published 2010 in Dynamical Numbers: Interplay between Dynamical Systems and Number Theory

Authors: Pierre Moussa

Random beta-expansions

JOURNAL ARTICLE published April 2003 in Ergodic Theory and Dynamical Systems

Authors: KARMA DAJANI | COR KRAAIKAMP

Finite beta-expansions

JOURNAL ARTICLE published December 1992 in Ergodic Theory and Dynamical Systems

Authors: Christiane Frougny | Boris Solomyak

The beta-transformation's companion map for Pisot or Salem numbers and their periodic orbits

JOURNAL ARTICLE published 2 January 2018 in Dynamical Systems

Authors: Bruno Melo Maia

Observing a Sharp Upper Bounds of the Beurling Counting Function of Integers Using an Infinite Sequence of Weird Numbers

JOURNAL ARTICLE published 31 October 2019 in Journal of Advanced Research in Dynamical and Control Systems

Authors: Faez Al- Maamori | Wiasm Tweej

A family of non-sofic beta expansions

JOURNAL ARTICLE published April 2016 in Ergodic Theory and Dynamical Systems

Authors: SHIGEKI AKIYAMA

Pseudorandom numbers for conformal measures

JOURNAL ARTICLE published December 2009 in Dynamical Systems

Authors: Manfred Denker | Jinqiao Duan | Michael McCourt

Geodesics on a Two-Dimensional Riemannian Manifold with Periodic Coefficients. 1

BOOK CHAPTER published 17 August 2020 in Hamiltonian Dynamical Systems

Authors: Gustav A. Hedlund

Translation numbers for a class of maps on the dynamical systems arising from quasicrystals in the real line

JOURNAL ARTICLE published April 2010 in Ergodic Theory and Dynamical Systems

Authors: JOSÉ ALISTE-PRIETO

Nil–Bohr sets of integers

JOURNAL ARTICLE published February 2011 in Ergodic Theory and Dynamical Systems

Authors: BERNARD HOST | BRYNA KRA

Symbolic dynamics for $beta$-shifts and self-normal numbers

JOURNAL ARTICLE published June 1997 in Ergodic Theory and Dynamical Systems

Authors: JÖRG SCHMELING

Topological entropy of continuous transitive maps on the real line

JOURNAL ARTICLE published December 2009 in Dynamical Systems

Authors: Jose S. Cánovas