S. Akiyama, Pisot numbers and greedy algorithm, Number theory, pp.9-21, 1996.
DOI : 10.1515/9783110809794.9
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.3253

S. Akiyama, Self affine tiling and Pisot numeration system, Number theory and its applications, pp.7-17, 1997.

S. Akiyama, Cubic Pisot units with finite beta expansions, Algebraic number theory and Diophantine analysis, pp.11-26, 1998.
DOI : 10.1515/9783110801958.11

S. Akiyama, On the boundary of self affine tilings generated by Pisot numbers, Journal of the Mathematical Society of Japan, vol.54, issue.2, pp.283-308, 2002.
DOI : 10.2969/jmsj/05420283

S. Akiyama, F. Bassino, and C. Frougny, Automata for Arithmetic Meyer Sets, Lecture Notes in Computer Science, vol.2976, pp.252-261, 2004.
DOI : 10.1007/978-3-540-24698-5_29
URL : https://hal.archives-ouvertes.fr/hal-00159713

S. Akiyama and A. Peth?-o, On canonical number systems, Theoretical Computer Science, vol.270, issue.1-2, pp.921-933, 2002.
DOI : 10.1016/S0304-3975(01)00103-7

S. Akiyama, H. Rao, and W. Steiner, A certain finiteness property of Pisot number systems, Journal of Number Theory, vol.107, issue.1, pp.135-160, 2004.
DOI : 10.1016/j.jnt.2004.02.001
URL : https://hal.archives-ouvertes.fr/hal-00023233

S. Akiyama and J. M. Thuswaldner, A Survey on Topological Properties of Tiles Related to Number Systems, Geometriae Dedicata, vol.21, issue.4, pp.89-105, 2004.
DOI : 10.1007/s10711-004-1774-7

P. Ambro?, C. Frougny, Z. Másáková, and E. Pelantová, Arithmetics on number systems with irrational bases, Bull. Belgian Math. Soc. Simon Stevin, vol.10, pp.641-659, 2003.

D. Barache, B. Champagne, and J. Gazeau, Pisot-cyclotomic quasilattices and their symmetry semigroups, Quasicrystals and discrete geometry, pp.15-66, 1995.
DOI : 10.1090/fim/010/02

J. Bernat, Arithmetic automaton for Perron numbers, Accepté par Discrete Mathematics and Theoretical Computer Science, 2005.

A. Bertrand, Développement en base de Pisot et répartition modulo 1, C. R. Acad. Sc, vol.385, pp.419-421, 1977.

?. C. Burdík, C. Frougny, J. P. Gazeau, and R. Krejcar, Beta-integers as natural counting systems for quasicrystals, Journal of Physics A: Mathematical and General, vol.31, issue.30, pp.316449-6472, 1998.
DOI : 10.1088/0305-4470/31/30/011

V. Canterini, Connectedness of geometric representation of substitutions of Pisot type, Bull. Belg. Math. Soc. Simon Stevin, vol.10, issue.1, pp.77-89, 2003.

V. Canterini and A. Siegel, Geometric representation of substitutions of Pisot type, Transactions of the American Mathematical Society, vol.353, issue.12, pp.5121-5144, 2001.
DOI : 10.1090/S0002-9947-01-02797-0

S. Fabre, Substitutions et ??-syst??mes de num??ration, Theoretical Computer Science, vol.137, issue.2, pp.219-236, 1995.
DOI : 10.1016/0304-3975(95)91132-A

C. Frougny, Confluent linear numeration systems, Theoretical Computer Science, vol.106, issue.2, pp.183-219, 1992.
DOI : 10.1016/0304-3975(92)90249-F

C. Frougny, On-Line Addition in Real Base, Mathematical foundations of computer science, pp.1-11, 1999.
DOI : 10.1007/3-540-48340-3_1

C. Frougny, Z. Masáková, and E. Pelantová, Complexity of infinite words associated with beta-expansions, RAIRO - Theoretical Informatics and Applications, vol.38, issue.2, pp.163-185, 2004.
DOI : 10.1051/ita:2004009
URL : https://hal.archives-ouvertes.fr/hal-00159649

C. Frougny and B. Solomyak, Finite beta-expansions. Ergodic Theory Dynam, Systems, vol.12, issue.4, pp.713-723, 1992.

J. Gazeau and J. Verger-gaugry, Geometric study of the set of ?-integers for a Perron number and mathematical quasicrystals, J. Théor. Nombres Bordeaux, vol.16, pp.1-25, 2004.

L. Guimond, Z. Másáková, and E. Pelantová, Combinatorial properties of infinite words associated with cut-and-project sequences, Journal de Th??orie des Nombres de Bordeaux, vol.15, issue.3, pp.697-725, 2003.
DOI : 10.5802/jtnb.422

L. Guimond, Z. Másáková, and E. Pelantová, Arithmetics of beta-expansions, Acta Arithmetica, vol.112, issue.1, pp.23-40, 2004.
DOI : 10.4064/aa112-1-2

S. Ito and M. Kimura, On Rauzy fractal, Japan Journal of Industrial and Applied Mathematics, vol.110, issue.3, pp.461-486, 1991.
DOI : 10.1007/BF03167147

J. C. Lagarias, Geometric Models for Quasicrystals I. Delone Sets of Finite Type, Discrete & Computational Geometry, vol.21, issue.2, pp.161-191, 1999.
DOI : 10.1007/PL00009413

M. Lothaire, Algebraic Combinatorics On Words, 2002.
DOI : 10.1017/CBO9781107326019
URL : https://hal.archives-ouvertes.fr/hal-00620608

A. Messaoudi, Frontì ere du fractal de Rauzy et système de numération complexe, Acta Arith, vol.95, issue.3, pp.195-224, 2000.

Y. Meyer, Algebraic numbers and harmonic analysis, 1972.

Y. Meyer, Quasicrystals, Diophantine approximation and algebraic numbers, Beyond quasicrystals (Les Houches, pp.3-16, 1994.
DOI : 10.1007/978-3-662-03130-8_1

R. V. Moody, Meyer sets and their duals In The mathematics of long-range aperiodic order, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci, vol.489, pp.403-441, 1995.

W. Parry, On the??-expansions of real numbers, Acta Mathematica Academiae Scientiarum Hungaricae, vol.17, issue.3-4, pp.401-416, 1960.
DOI : 10.1007/BF02020954

N. , P. Foggberthé, V. Ferenczi, S. Mauduit, C. Siegel et al., Substitutions in Dynamics, Arithmetics and Combinatorics Lecture Notes in Mathematics, p.1794, 2002.

G. Rauzy, Nombres alg??briques et substitutions, Bulletin de la Société mathématique de France, vol.79, issue.2, pp.147-178, 1982.
DOI : 10.24033/bsmf.1957

G. Rauzy, Rotations sur les groupes, nombres algébriques et substitutions, 1987.

A. Rényi, Representations for real numbers and their ergodic properties, Acta Mathematica Academiae Scientiarum Hungaricae, vol.95, issue.3-4, pp.477-493, 1957.
DOI : 10.1007/BF02020331

K. Scheicher and J. M. Thuswaldner, Canonical number systems, counting automata and fractals, Math. Proc. Cambridge Philos. Soc, pp.163-182, 2002.
DOI : 10.1017/S0305004102005856

K. Schmidt, On Periodic Expansions of Pisot Numbers and Salem Numbers, Bulletin of the London Mathematical Society, vol.12, issue.4, pp.269-278, 1980.
DOI : 10.1112/blms/12.4.269

D. Shechtman, I. Blech, D. Gratias, and J. Cahn, Metallic Phase with Long-Range Orientational Order and No Translational Symmetry, Physical Review Letters, vol.53, issue.20, pp.1951-1953, 1984.
DOI : 10.1103/PhysRevLett.53.1951

V. F. Sirvent and Y. Wang, Self-affine tiling via substitution dynamical systems and Rauzy fractals, Pacific Journal of Mathematics, vol.206, issue.2, pp.465-485, 2002.
DOI : 10.2140/pjm.2002.206.465
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.32.4422

B. Solomyak, Substitutions, adic transformations, and beta-expansions, Symbolic dynamics and its applications, pp.361-372, 1991.
DOI : 10.1090/conm/135/1185103

W. P. Thurston, Groups, tilings and finite state automata, 1989.