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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:
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.


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