Unique expansions of real numbers

JOURNAL ARTICLE published June 2009 in Advances in Mathematics

Authors: Martijn de Vries | Vilmos Komornik

Unique double base expansions

JOURNAL ARTICLE published 6 April 2024 in Monatshefte für Mathematik

Research funded by Agence Nationale de la Recherche (ANR-18-CE40-0007,ANR-22-CE40-0011) | National Natural Science Foundation of China (#61972265) | Natural Science Foundation of Guangdong Province (#2023A1515011691) | Ministério da Ciência, Tecnologia e Inovação (CAPES: No. 88881.520205/2020-01)

Authors: Vilmos Komornik | Wolfgang Steiner | Yuru Zou

Topology of univoque sets in real base expansions

JOURNAL ARTICLE published May 2022 in Topology and its Applications

Authors: Martijn de Vries | Vilmos Komornik | Paola Loreti

Unique expansions in integer bases with extended alphabets

JOURNAL ARTICLE published 1 December 2011 in Publicationes Mathematicae Debrecen

Authors: MARTINE BAATZ | VILMOS KOMORNIK

Characterization of the unique expansions $1=sum^{infty}_{i=1}q^{-n_ i}$ and related problems

JOURNAL ARTICLE published 1990 in Bulletin de la Société mathématique de France

Authors: Pál Erdös | Istvá n Joó | Vilmos Komornik

Unique infinite expansions in noninteger bases

JOURNAL ARTICLE published February 2012 in Acta Mathematica Hungarica

Authors: Vilmos Komornik

Optimal expansions in non-integer bases

JOURNAL ARTICLE published 1 July 2011 in Proceedings of the American Mathematical Society

Authors: Karma Dajani | Martijn de Vries | Vilmos Komornik | Paola Loreti

Expansions in non-integer bases

BOOK CHAPTER published 30 November 2015 in Combinatorics, Words and Symbolic Dynamics

Authors: M. De Vries | V. Komornik

On the number of unique expansions in non-integer bases

JOURNAL ARTICLE published January 2009 in Topology and its Applications

Authors: Martijn de Vries

Generalized “decimal” expansions of real numbers

JOURNAL ARTICLE published 1 June 1969 in Duke Mathematical Journal

Authors: Calvin T. Long

Bases in which some numbers have exactly two expansions

JOURNAL ARTICLE published February 2019 in Journal of Number Theory

Research funded by NSFC (11401516)

Authors: Vilmos Komornik | Derong Kong

Common expansions in noninteger bases

JOURNAL ARTICLE published 1 September 2014 in Publicationes Mathematicae Debrecen

Authors: VILMOS KOMORNIK | ATTILA PETHO

Expansions in Complex Bases

JOURNAL ARTICLE published 1 September 2007 in Canadian Mathematical Bulletin

Authors: Vilmos Komornik | Paola Loreti

Non-uniform Expansions of Real Numbers

JOURNAL ARTICLE published April 2021 in Mediterranean Journal of Mathematics

Authors: Jörg Neunhäuserer

Rational Numbers with Predictable Engel Product Expansions

BOOK CHAPTER published 1993 in Applications of Fibonacci Numbers

Authors: Arnold Knopfmacher

Discrete spectra and Pisot numbers

JOURNAL ARTICLE published February 2013 in Journal of Number Theory

Authors: Shigeki Akiyama | Vilmos Komornik

Arithmetical properties of real numbers related to beta-expansions

JOURNAL ARTICLE published 1 March 2019 in Functiones et Approximatio Commentarii Mathematici

Authors: Hajime Kaneko

Probabilistic theorems concerning expansions of real numbers

JOURNAL ARTICLE published March 1973 in Periodica Mathematica Hungarica

Authors: J. Galambos

Multiple common expansions in non-integer bases

JOURNAL ARTICLE published June 2017 in Acta Scientiarum Mathematicarum

Authors: Vilmos Komornik | Marco Pedicini | Attila Pethő

Expansions in multiple bases over general alphabets

JOURNAL ARTICLE published April 2022 in Acta Mathematica Hungarica

Authors: V. Komornik | J. Lu | Y. Zou