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

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

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 In Algebraic number theory and Diophantine analysis, de Gruyter, pp.11-26, 1998.

P. Arnoux and G. Rauzy, Repr??sentation g??om??trique de suites de complexit?? $2n+1$, Bulletin de la Société mathématique de France, vol.119, issue.2, pp.199-215, 1991.
DOI : 10.24033/bsmf.2164
URL : http://www.numdam.org/article/BSMF_1991__119_2_199_0.pdf

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 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.

J. Bernat, Propriétés arithmétiques de la ?-numération, 2005.

[. Burdík, C. Frougny, J. Gazeau, and R. Krejcar, Betaintegers as natural counting systems for quasicrystals, J. Phys. A, issue.30, pp.316449-6472, 1998.

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, 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.

N. Gjini, A self-similar tiling generated by the Pisot number which is the root of the equation x 3 ? x 2 ? 1 = 0, Osaka J. Math, vol.38, issue.2, pp.303-319, 2001.

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

M. Hollander, Linear numeration systems, finite beta-expansions, and discrete spectrum of substitution dynamical systems, 1996.

A. Messaoudi, Généralisation de la multiplication de Fibonacci, Math. Slovaca, vol.50, issue.2, pp.135-148, 2000.

A. Messaoudipar60 and ]. W. Parry, Tribonacci multiplication On the ?-expansions of real numbers, Appl. Math. Lett. Acta Math. Acad. Sci. Hungar, vol.15, issue.11, pp.981-985401, 1960.

P. William and . Thurston, Groups, tilings, and finite state automata, AMS Colloquium Lecture Notes, 1989.