@article{COMIM_1998_6_1_a2,
author = {Akiyama, Shigeki and Sadahiro, Taizo},
title = {A self-similar tiling generated by the minimal {Pisot} number},
journal = {Communications in Mathematics},
pages = {9--26},
year = {1998},
volume = {6},
number = {1},
mrnumber = {1822510},
zbl = {1024.11066},
language = {en},
url = {http://geodesic.mathdoc.fr/item/COMIM_1998_6_1_a2/}
}
Akiyama, Shigeki; Sadahiro, Taizo. A self-similar tiling generated by the minimal Pisot number. Communications in Mathematics, Tome 6 (1998) no. 1, pp. 9-26. http://geodesic.mathdoc.fr/item/COMIM_1998_6_1_a2/
[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) | MR | Zbl
[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
[3] K. J. Falconer: Techniques in Fractal Geometry. John Wiley & Sons.(1997) | MR | Zbl
[4] C. Frougny B. Solomyak: Finite beta-expansions. Ergod. Th. and Dynam. Sys. 12 (1992) 713-723 | DOI | MR
[5] A. Messaoudi: Frontiere du fractal de Rauzy et systeme de numeration complexe. preprint. | MR | Zbl
[6] W. Parry: On the $\beta$-expansions of real numbers. Acta Math. Acad. Sci. Hungar. 11 (1960) 269-278 | DOI | MR | Zbl
[7] G. Rauzy: Nombres Algebriques et substitutions. Bull. Soc. France 110 (1982), 147-178. | MR | Zbl
[8] W. P. Thurston: Groups, Tilings and Finite state automata. Summer 1989 AMS Colloquium lectures, Research Report GCG 1.