| Title:
|
A self-similar tiling generated by the minimal Pisot number (English) |
| Author:
|
Akiyama, Shigeki |
| Author:
|
Sadahiro, Taizo |
| Language:
|
English |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
6 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
9-26 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11A63 |
| MSC:
|
11K16 |
| MSC:
|
11R06 |
| idZBL:
|
Zbl 1024.11066 |
| idMR:
|
MR1822510 |
| . |
| Date available:
|
2009-01-30T09:05:30Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120535 |
| . |
| Reference:
|
[1] S. Akiyama: Pisot numbers and greedy algorithm.Number Theory, Diophantine, Computational and Algebraic Aspects, edited by K.Gyory, A. Petho and V.T. Sos, 9-21, de Gruyter, Berlin, New York (1998) Zbl 0919.11063, MR 1628829 |
| Reference:
|
[2] M. J. Bertin A. Decomps-Guilloux M. Grandet-Hugot M. Pathiaux-Delefosse J. P. Schreiber: Pisot and Salem Numbers.Birkhauser Verlag Basel-Boston-Berlin. (1992) MR 1187044 |
| Reference:
|
[3] K. J. Falconer: Techniques in Fractal Geometry.John Wiley & Sons.(1997) Zbl 0869.28003, MR 1449135 |
| Reference:
|
[4] C. Frougny B. Solomyak: Finite beta-expansions.Ergod. Th. and Dynam. Sys. 12 (1992) 713-723 MR 1200339, 10.1017/S0143385700007057 |
| Reference:
|
[5] A. Messaoudi: Frontiere du fractal de Rauzy et systeme de numeration complexe.preprint. Zbl 0968.28005, MR 1793161 |
| Reference:
|
[6] W. Parry: On the $\beta$-expansions of real numbers.Acta Math. Acad. Sci. Hungar. 11 (1960) 269-278 Zbl 0099.28103, MR 0142719, 10.1007/BF02020954 |
| Reference:
|
[7] G. Rauzy: Nombres Algebriques et substitutions.Bull. Soc. France 110 (1982), 147-178. Zbl 0522.10032, MR 0667748 |
| Reference:
|
[8] W. P. Thurston: Groups, Tilings and Finite state automata.Summer 1989 AMS Colloquium lectures, Research Report GCG 1. |
| . |
