no. 1
Complex Pisot Numeration Systems
Furukado, Maki1 ; Ito, Shunji2
1 Yokohama
2 Kanazawa
Actes des rencontres du CIRM, Numération : mathématiques et informatique, Tome 1 (2009) no. 1, pp. 41-48
Publié le :
DOI : 10.5802/acirm.8
Keywords: Quasi-periodic tiling, Rauzy fractal, Stepped plane

Furukado, Maki 1 ; Ito, Shunji 2

1 Yokohama
2 Kanazawa 
@article{ACIRM_2009__1_1_41_0,
     author = {Furukado, Maki and Ito, Shunji},
     title = {Complex {Pisot} {Numeration} {Systems}},
     journal = {Actes des rencontres du CIRM},
     pages = {41--48},
     year = {2009},
     publisher = {CIRM},
     volume = {1},
     number = {1},
     doi = {10.5802/acirm.8},
     zbl = {06938556},
     language = {en},
     url = {https://www.numdam.org/articles/10.5802/acirm.8/}
}
TY  - JOUR
AU  - Furukado, Maki
AU  - Ito, Shunji
TI  - Complex Pisot Numeration Systems
JO  - Actes des rencontres du CIRM
PY  - 2009
SP  - 41
EP  - 48
VL  - 1
IS  - 1
PB  - CIRM
UR  - https://www.numdam.org/articles/10.5802/acirm.8/
DO  - 10.5802/acirm.8
LA  - en
ID  - ACIRM_2009__1_1_41_0
ER  - 
%0 Journal Article
%A Furukado, Maki
%A Ito, Shunji
%T Complex Pisot Numeration Systems
%J Actes des rencontres du CIRM
%D 2009
%P 41-48
%V 1
%N 1
%I CIRM
%U https://www.numdam.org/articles/10.5802/acirm.8/
%R 10.5802/acirm.8
%G en
%F ACIRM_2009__1_1_41_0
Furukado, Maki; Ito, Shunji. Complex Pisot Numeration Systems. Actes des rencontres du CIRM, Numération : mathématiques et informatique, Tome 1 (2009) no. 1, pp. 41-48. doi: 10.5802/acirm.8

[A-F-H-I] P.Arnoux, M.Furukado, E.Harriss and S.Ito, Algebraic numbers and automorphisms of free groups, preprint. (2006). | MR | Zbl | DOI

[A-I] P.Arnoux and S.Ito, Pisot substitutions and Rauzy fractals, Journées Montoises d’Informatique Théorique (Marne-la-Vallée, 2000), Bull. Belg. Math. Soc. Simon Stevin 8 (2001), no. 2, 181–207. | Zbl | MR | DOI

[E-I] H.Ei and S.Ito Tiling from some non-irreducible Pisot substitutions, Discrete Math. Theor. Comput. Sci. 7 (2005), no. 1, 81–121. | Zbl

[E] H.Ei, Some properties of invertible substitutions of rank d, and higher dimensional substitutions, Osaka J. Math. 40 (2003), 543–562. | Zbl

[F-F-I-W] D.J.Feng, M.Furukado, S.Ito and J.Wu, Pisot substitutions and the Hausdorff dimension of boundaries of atomic surfaces, Tsukuba J. Math. 30, (2006), no. 1, 195-2235. | Zbl | MR | DOI

[F-I-R] M.Furukado, S.Ito and E.A.Robinson Jr., Tilings associated with non-Pisot matrices, Ann. Inst. Fourier, Grenoble 56, 7(2006) 2391-2435. | Zbl | MR | DOI

[F] M.Furukado Tilings from non-Pisot unimodular matrices, Hiroshima Math. J. 36 (2006), no. 2. | Zbl | MR | DOI

[H-F-I] M.Hama, M.Furukado and S.Ito, Complex Pisot Numeration Systems, to appear in Commentarii Mathematici Universitatis Sancti Pauli. | DOI | Zbl | MR

[I-R] S.Ito and H.Rao, Atomic surfaces, tilings and coincidence I. Irrecucible case, Israel J. Math. 153 (2006), 129-156. | MR | DOI

[R] G. Rauzy, Nombres Algébriques et Substitutions, Bull. Soc. Math. France, 110 (1982), 147-178. | Zbl | DOI

Cité par Sources :