P. Arnoux, V. Berthé, and S. Ito, Plans discrets, actions de ${\Bbb Z}^2$, algorithme de Jacobi-Perron et substitutions, Annales de l???institut Fourier, vol.52, issue.2, pp.305-349, 2002.
DOI : 10.5802/aif.1889

P. Arnoux, V. Berthé, and A. Siegel, Two-dimensional iterated morphisms and discrete planes, Theoretical Computer Science, vol.319, issue.1-3, 2004.
DOI : 10.1016/j.tcs.2004.02.017
URL : https://hal.archives-ouvertes.fr/lirmm-00108555

P. Arnoux and S. Ito, Pisot substitutions and Rauzy fractals, Bull. Belg. Math. Soc. Simon Stevin, vol.8, issue.2, pp.181-207, 2000.

]. S. Aki98 and . Akiyama, Pisot numbers and greedy algorithm, Number theory, pp.9-21, 1996.

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

]. S. Aki00 and . Akiyama, Cubic Pisot units with finite beta expansions, Algebraic number theory and Diophantine analysis, pp.11-26, 1998.

S. Akiyama and T. Sadahiro, A self-similar tiling generated by the minimal Pisot number, Proceedings of the 13th Czech and Slovak International Conference on Number Theory (Ostravice, pp.9-26, 1997.

F. Bassino, Beta-expansions for cubic Pisot numbers Theoretical informatics (Cancun), volume 2286 of, Lecture Notes in Comput. Sci, pp.141-152, 2002.

A. Bertrand, Développements en base de Pisot et répartition modulo 1, C. R. Acad. Sci. Paris Sér. A-B, vol.285, issue.6, pp.419-421, 1977.

A. Bertrand-mathis, Développement en base ?; répartition modulo un de la suite (x? n ) n?0 ; langages codés et ?-shift, Bull. Soc. Math. France, vol.114, issue.3, pp.271-323, 1986.
DOI : 10.24033/bsmf.2058

A. Bertrand-mathis, Comment ecrire les nombres entiers dans une base qui n'est pas entiere, Acta Mathematica Hungarica, vol.92, issue.3-4, pp.237-241, 1989.
DOI : 10.1007/BF01952053

V. Canterini and A. Siegel, Automate des pr??fixes-suffixes associ?? ?? une substitution primitive, Journal de Th??orie des Nombres de Bordeaux, vol.13, issue.2, pp.353-369, 2001.
DOI : 10.5802/jtnb.327

V. Canterini, A. Siegel, H. Ei, and S. Ito, Geometric representation of substitutions of Pisot type Tiling from some ?-cubic Pisot numbers I and II, 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, Number representation and finite automata, Topics in symbolic dynamics and applications, pp.207-228, 1997.
DOI : 10.1017/CBO9780511777653.003
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.158.2072

C. Frougny, Chapter 7: Numeration systems, Algebraic combinatorics on words. M. Lothaire, 2002.

C. Holton and L. Q. Zamboni, Geometric realizations of substitutions, Bulletin de la Société mathématique de France, vol.126, issue.2, pp.149-179461, 1991.
DOI : 10.24033/bsmf.2324

S. Ito, M. Ohtsukiir02, ]. S. Ito, H. Raois01, ]. S. Ito et al., Modified Jacobi-Perron Algorithm and Generating Markov Partitions for Special Hyperbolic Toral Automorphisms, Tokyo Journal of Mathematics, vol.16, issue.2, pp.441-472349, 1993.
DOI : 10.3836/tjm/1270128497

R. Kenyon and A. Vershik, Arithmetic construction of sofic partitions of hyperbolic toral automorphisms. Ergodic Theory Dynam, Systems, vol.18, issue.2, pp.357-372, 1998.

A. Messaoudi, Propri??t??s arithm??tiques et dynamiques du fractal de Rauzy, Journal de Th??orie des Nombres de Bordeaux, vol.10, issue.1, pp.135-162, 1998.
DOI : 10.5802/jtnb.223

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

R. , D. Mauldin, and S. C. Williams, Hausdorff dimension in graph directed constructions, Trans. Amer. Math. Soc, vol.309, issue.2, pp.811-829, 1988.

B. Praggastis, Numeration systems and Markov partitions from self-similar tilings, Transactions of the American Mathematical Society, vol.351, issue.08, pp.3315-3349, 1999.
DOI : 10.1090/S0002-9947-99-02360-0

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

Y. Sano, P. Arnoux, and S. Ito, Higher dimensional extensions of substitutions and their dual maps, Journal d'Analyse Math??matique, vol.318, issue.1, pp.183-206, 2001.
DOI : 10.1007/BF02790261

Y. Sano, Abstract, Nagoya Mathematical Journal, vol.8, pp.183-207, 2002.
DOI : 10.1112/blms/12.4.269

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

K. Schmidt, Algebraic Coding of Expansive Group Automorphisms and Two-sided Beta-Shifts, Monatshefte f???r Mathematik, vol.129, issue.1, pp.37-61, 2000.
DOI : 10.1007/s006050050005

A. Siegel, Représentation géométrique, combinatoire et arithmétique des substitutions de type Pisot, 2000.

A. Siegel, Spectral theory and geometric representation of substitutions, Substitutions in dynamics, arithmetics and combinatorics, pp.199-252, 2002.

A. Siegel, Représentation des systèmes dynamiques substitutifs non unimodulaires. Ergodic Theory Dynam, Systems, vol.23, issue.4, pp.1247-1273, 2003.

Y. [. Sirvent and . 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

W. P. Thurston, Groups, tilings and finite state automata. Lectures notes distributed in conjunction with the Colloquium Series, AMS Colloquium lectures, 1989.