Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions-Reference-Cited by-同舟云学术

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

Published:2008-08-02 Issue:3-4 Volume:155 Page:377-419
ISSN:0026-9255
Container-title:Monatshefte für Mathematik
language:en
Short-container-title:Monatsh Math

Author:

Akiyama Shigeki,Barat Guy,Berthé Valérie,Siegel Anne

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00605-008-0009-7.pdf

Reference35 articles.

1. Akiyama, S.: Pisot Numbers and Greedy Algorithm. Number Theory (Eger, 1996), pp. 9–21. de Gruyter, Berlin (1998)

2. Akiyama, S.: Cubic Pisot Units With Finite Beta Expansions. Algebraic Number Theory and Diophantine Analysis (Graz, 1998), pp. 11–26. de Gruyter, Berlin (2000)

3. Akiyama S.: On the boundary of self affine tilings generated by Pisot numbers. J. Math. Soc. Jpn 54(2), 283–308 (2002)

4. Akiyama, S.: Pisot Number System and its Dual Tiling. Physics and Theoretical Computer Science (Cargese, 2006), pp. 133–154. IOS Press, Amsterdam (2007)

5. Akiyama S., Scheicher K.: Intersecting two dimensional fractals and lines. Acta Sci. Math. (Szeged) 3-4, 555–580 (2005)

Cited by 19 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the Sum of Digits of Expansions of a Pair of Consecutive Numbers over a Linear Recurrent Sequence;Mathematical Notes;2023-10

2. On the Sum of Digits of Expansions of a Pair of Consecutive Numbers over a Linear Recurrent Sequence;Matematicheskie Zametki;2023

3. Rauzy Fractals and their Number-Theoretic Applications;Journal of Mathematical Sciences;2022-01

4. Фракталы Рози и их теоретико-числовые приложения;Итоги науки и техники. Серия «Современная математика и ее приложения. Тематические обзоры»;2019

5. Beta-expansions of rational numbers in quadratic Pisot bases;Acta Arithmetica;2018