References
- [Akiyama 02] S. Akiyama. “On the Boundary of Self-Affine Tilings Generated by Pisot Numbers,” J. Math. Soc. Japan 54: 2 (2002), 283–308. Available online (https://projecteuclid.org/download/pdf_1/euclid.jmsj/1213024068)
- [Akiyama and Lee 10] S. Akiyama and J.-Y. Lee. “Algorithm for Determining Pure Pointedness of Self-Affine Tilings.” 2010. Available online (http://math.tsukuba.ac.jp/akiyama/papers/CompCoinSub-Sub-Rev-Sub-Rev.pdf)
- [Akyiama and Mercat 18] S. Akyiama and P. Mercat. Yet another characterization of the Pisot conjecture, preprint, 2018.
- [Arnoux 17] P. Arnoux. Private Communication, 2017.
- [Arnoux and Ito 01] P. Arnoux and S. Ito. “Pisot Substitutions and Rauzy Fractals,” Bull. Belg. Math. Soc. 8 (2001), 181–207. Available online (http://iml.univ-mrs.fr/arnoux/ArnouxIto.pdf)
- [Berthé and Siegel 05] V. Berthé and A. Siegel. “Tilings Associated with Beta-Numeration and Substitutions.” 2005. Available online (http://iml.univ-mrs.fr/arnoux/integers.pdf)
- [Carton 14] O. Carton. Langages Formels, Calculabilité et Complexité. Paris: Vuibert, 2014. Available online (https://gaati.org/bisson/tea/lfcc.pdf)
- [Ei and Ito 05] H. Ei and S. Ito. “Tilings from Some Non-Irreducible, Pisot Substitutions,” DMTCS 7 (2005), 81–122. Available online (https://hal.inria.fr/hal-00959033)
- [Ei et al. 06] H. Ei, S. Ito, and H. Rao. “Atomic Surfaces, Tilings and Coincidences II,” Reducible Case 56: 7 (2006), 2285–2313. Available online (http://www.numdam.org/article/AIF_2006__56_7_2285_0.pdf)
- [Frougny and Pelantová 17] Ch. Frougny and E. Pelantová. “Beta-Representations of 0 and Pisot Numbers,” https://arxiv.org/abs/1512.04234, 2017.
- [Frougny and Sakarovitch 10] Ch. Frougny and J. Sakarovitch. “Number Representation and Finite Automata,” In C.A.N.T., edited by V. Berthé and M. Rigo, Encyclo. of Maths and its Applic. pp. 32–35. Cambridge: Cambridge University Press, 2010.
- [Jolivet 16] T. Jolivet. Private Communication, 2016.
- [Khoussainov and Nerode 12] B. Khoussainov and A. Nerode. Automata Theory and its Applications. In Progress in Computer Science and Applied Logic. Springer Science and Business Media, 2001.
- [Lalley 97] S. Lalley. “β-Expansions with Deleted Digits for Pisot Numbers β,” Trans. Amer. Math. Soc. 349: 11 (1997), 4355–4365. Available online (http://www.ams.org/journals/tran/1997-349-11/S0002-9947-97-02069-2/S0002-9947-97-02069-2.pdf)
- [Lang 70] S. Lang. “Algebraic Number Theory.” In Graduate Texts in Mathematics, chap VII, vol. 110, pp. 137–154. New York: Springer, 1970.
- [Mercat 13] P. Mercat. “Semi-Groupes Fortement Automatiques.” Bull. SMF 141:3 (2013), 423–479. Available online (http://www.i2m.univ-amu.fr/mercat.p/Publis/Semi-groupes%20fortement%20automatiques.pdf)
- [Mercat 16] P. Mercat. “Rauzy Fractals can Have Any Shape.” Preprint, 2016. Available online (http://www.i2m.univ-amu.fr/mercat.p/RauzyFractals/RauzyFractals.pdf)
- [Minervino and Thuswaldner 14] M. Minervino and J. Thuswaldner. “The Geometry of Non-Unit Pisot Substitutions,” Preprint, 2014, pp. 19–20. Available online (https://arxiv.org/pdf/1402.2002.pdf)
- [Siegel and Thuswaldner 09] A. Siegel and J. Thuswaldner. “Topological Properties of Rauzy Fractals.” Mémoires de la SMF 118 (2009), 144. Available online (https://www.irisa.fr/symbiose/people/asiegel/Articles/Topological.pdf)