Complex Pisot Numeration Systems
Maki Furukado[1]; Shunji Ito[2]
- [1] Yokohama
- [2] Kanazawa
Actes des rencontres du CIRM (2009)
- Volume: 1, Issue: 1, page 41-48
- ISSN: 2105-0597
Access Full Article
top
How to cite
topFurukado, Maki, and Ito, Shunji. "Complex Pisot Numeration Systems." Actes des rencontres du CIRM 1.1 (2009): 41-48. <http://eudml.org/doc/10015>.
@article{Furukado2009,
affiliation = {Yokohama; Kanazawa},
author = {Furukado, Maki, Ito, Shunji},
journal = {Actes des rencontres du CIRM},
keywords = {Quasi-periodic tiling; Rauzy fractal; Stepped plane; -expansion; complex Pisot number},
language = {eng},
month = {3},
number = {1},
pages = {41-48},
publisher = {CIRM},
title = {Complex Pisot Numeration Systems},
url = {http://eudml.org/doc/10015},
volume = {1},
year = {2009},
}
TY - JOUR
AU - Furukado, Maki
AU - Ito, Shunji
TI - Complex Pisot Numeration Systems
JO - Actes des rencontres du CIRM
DA - 2009/3//
PB - CIRM
VL - 1
IS - 1
SP - 41
EP - 48
LA - eng
KW - Quasi-periodic tiling; Rauzy fractal; Stepped plane; -expansion; complex Pisot number
UR - http://eudml.org/doc/10015
ER -
References
top- P.Arnoux, M.Furukado, E.Harriss and S.Ito, Algebraic numbers and automorphisms of free groups, preprint. (2006). Zbl1254.37015
- 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. Zbl1007.37001MR1838930
- H.Ei, Some properties of invertible substitutions of rank d, and higher dimensional substitutions, Osaka J. Math. 40 (2003), 543–562. Zbl1037.20033MR1988704
- H.Ei and S.ItoTiling from some non-irreducible Pisot substitutions, Discrete Math. Theor. Comput. Sci. 7 (2005), no. 1, 81–121. Zbl1153.37323MR2164061
- M.FurukadoTilings from non-Pisot unimodular matrices, Hiroshima Math. J. 36 (2006), no. 2. Zbl1173.37012MR2259740
- 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. Zbl1130.37318MR2248292
- M.Hama, M.Furukado and S.Ito, Complex Pisot Numeration Systems, to appear in Commentarii Mathematici Universitatis Sancti Pauli.
- M.Furukado, S.Ito and E.A.Robinson Jr., Tilings associated with non-Pisot matrices, Ann. Inst. Fourier, Grenoble 56, 7(2006) 2391-2435. Zbl1142.15015MR2290785
- S.Ito and H.Rao, Atomic surfaces, tilings and coincidence I. Irrecucible case, Israel J. Math. 153 (2006), 129-156. Zbl1143.37013MR2254640
- G. Rauzy, Nombres Algébriques et Substitutions, Bull. Soc. Math. France, 110 (1982), 147-178. Zbl0522.10032MR667748
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.