Beta-expansions, natural extensions and multiple tilings associated with Pisot units

JOURNAL ARTICLE published 1 May 2012 in Transactions of the American Mathematical Society

Authors: Charlene Kalle | Wolfgang Steiner

Generalized $beta$-expansions, substitution tilings, and local finiteness

JOURNAL ARTICLE published 1 March 2008 in Transactions of the American Mathematical Society

Authors: Natalie Priebe Frank | E. Arthur Robinson Jr.

Multiple tilings associated to d-Bonacci beta-expansions

JOURNAL ARTICLE published October 2018 in Monatshefte für Mathematik

Research funded by Grantová Agentura České Republiky (13-03538S,17-04703Y) | Agence Nationale de la Recherche (ANR-12-IS01-0002) | Studentská grantová soutěž ČVUT (CZ) (SGS11/162/OHK4/3T/14)

Authors: Tomáš Hejda

Tilings for Pisot beta numeration

JOURNAL ARTICLE published June 2014 in Indagationes Mathematicae

Research funded by Austrian Science Fund (FWF) (W1230) | ANR (ANR-12-IS01-0002) | FWF (I1136)

Authors: Milton Minervino | Wolfgang Steiner

𝛽-expansions with deleted digits for Pisot numbers 𝛽

JOURNAL ARTICLE published 1997 in Transactions of the American Mathematical Society

Authors: Steven Lalley

Beta-expansions of rational numbers in quadratic Pisot bases

JOURNAL ARTICLE published 2018 in Acta Arithmetica

Authors: Tomáš Hejda | Wolfgang Steiner

Purely periodic 𝛽-expansions with Pisot unit base

JOURNAL ARTICLE published 19 November 2004 in Proceedings of the American Mathematical Society

Authors: Shunji Ito | Hui Rao

Connectedness of number theoretical tilings (dual tilings generated by Pisot units of degree 3 and 4)

JOURNAL ARTICLE published December 2007 in PAMM

Authors: Shigeki Akiyama | Nertila Gjini

Classifying 𝑆𝐿₂-tilings

JOURNAL ARTICLE published 7 October 2022 in Transactions of the American Mathematical Society

Authors: Ian Short

On beta expansions for Pisot numbers

JOURNAL ARTICLE published 1996 in Mathematics of Computation

Authors: David Boyd

Redundancy of minimal weight expansions in Pisot bases

JOURNAL ARTICLE published October 2011 in Theoretical Computer Science

Authors: Peter J. Grabner | Wolfgang Steiner

Multiple points of tilings associated with Pisot numeration systems

JOURNAL ARTICLE published August 2006 in Theoretical Computer Science

Research funded by Ministry of Education, Culture, Sports, Science and Technology (766)

Authors: Taizo Sadahiro

Expansions in terms of solutions of partial differential equations. I. Multiple Fourier series expansions

JOURNAL ARTICLE published 1923 in Transactions of the American Mathematical Society

Authors: Chester C. Camp

Steiner problems in optimal transport

JOURNAL ARTICLE published 1 April 2011 in Transactions of the American Mathematical Society

Authors: Jonathan Dahl

Eigenfunction expansions associated with an integral operator

JOURNAL ARTICLE published 1965 in Transactions of the American Mathematical Society

Authors: Marvin Shinbrot

Eigenfunction expansions associated with singular differential operators

JOURNAL ARTICLE published 1955 in Transactions of the American Mathematical Society

Authors: Joanne Elliott

BETA-EXPANSIONS OF PISOT AND SALEM NUMBERS

PROCEEDINGS ARTICLE published August 2007 in Computer Algebra 2006

Authors: KEVIN G. HARE

Cubic Pisot units with finite beta expansions

BOOK CHAPTER published in Algebraic Number Theory and Diophantine Analysis

Authors: Shigeki Akiyama

Arithmetics on beta-expansions with Pisot bases over $F_q((x^{-1}))$

JOURNAL ARTICLE published 1 May 2014 in Bulletin of the Belgian Mathematical Society - Simon Stevin

Authors: R. Ghorbel | M. Hbaib | S. Zouari

Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions

JOURNAL ARTICLE published December 2008 in Monatshefte für Mathematik

Authors: Shigeki Akiyama | Guy Barat | Valérie Berthé | Anne Siegel