S. Akiyama, Pisot numbers and greedy algorithm, Number theory, pp.9-21, 1996.
DOI : 10.1515/9783110809794.9

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, Positive Finiteness of Number Systems, Number theory, pp.1-10, 2006.
DOI : 10.1007/0-387-30829-6_1

S. Akiyama, Pisot number system and its dual tiling, Physics and theoretical computer science, pp.133-154, 2007.

S. Akiyama and J. Lee, Algorithm for determining pure pointedness of self-affine tilings, Advances in Mathematics, vol.226, issue.4, pp.2855-2883, 2011.
DOI : 10.1016/j.aim.2010.07.019

S. Akiyama and J. Lee, Computation of pure discrete spectrum of selfaffine tilings, 2013.

S. Akiyama and K. Scheicher, From number systems to shift radix systems, Nihonkai Math, J, vol.16, issue.2, pp.95-106, 2005.

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, G. Barat, V. Berthé, and A. Siegel, Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions, Monatshefte f??r Mathematik, vol.18, issue.2, pp.3-4, 2008.
DOI : 10.1007/s00605-008-0009-7

URL : https://hal.archives-ouvertes.fr/inria-00330567

S. Akiyama, H. Brunotte, A. Peth?, and J. M. Thuswaldner, Generalized radix representations and dynamical systems II, Acta Arithmetica, vol.121, issue.1, pp.21-61, 2006.
DOI : 10.4064/aa121-1-2

S. Akiyama, T. Borbély, H. Brunotte, A. Peth?, and J. M. Thuswaldner, Generalized radix representations and dynamical systems. I, Acta Mathematica Hungarica, vol.108, issue.3, pp.207-238, 2005.
DOI : 10.1007/s10474-005-0221-z

J. E. Anderson and I. F. Putnam, Topological invariants for substitution tilings and their associated $C^\ast$-algebras, Ergodic Theory and Dynamical Systems, vol.18, issue.3, pp.509-537, 1998.
DOI : 10.1017/S0143385798100457

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

P. Arnoux, M. Furukado, E. Harriss, and S. Ito, Algebraic numbers, free group automorphisms and substitutions on the plane, Transactions of the American Mathematical Society, vol.363, issue.9, pp.4651-4699, 2011.
DOI : 10.1090/S0002-9947-2011-05188-3

URL : https://hal.archives-ouvertes.fr/hal-01310767

M. Baake and U. Grimm, Aperiodic order, of Encyclopedia of Mathematics and its Applications
DOI : 10.1017/CBO9781139025256

M. Baake and D. Lenz, Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra, Ergodic Theory and Dynamical Systems, vol.24, issue.6, pp.1867-1893, 2004.
DOI : 10.1017/S0143385704000318

M. Baake and D. Lenz, Deformation of Delone Dynamical Systems and Pure Point Diffraction, Journal of Fourier Analysis and Applications, vol.11, issue.2, pp.125-150, 2005.
DOI : 10.1007/s00041-005-4021-1

M. Baake and R. V. Moody, Weighted Dirac combs with pure point diffraction, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2004, issue.573, pp.61-94, 2004.
DOI : 10.1515/crll.2004.064

M. Baake, D. Lenz, and R. Moody, Characterization of model sets by dynamical systems, Ergodic Theory and Dynamical Systems, vol.27, issue.02, pp.341-382, 2007.
DOI : 10.1017/S0143385706000800

V. Baker, M. Barge, and J. Kwapisz, Repr??sentation g??om??trique et co??ncidence pour pavages associ??s ?? une substitution de type Pisot non-unimodulaire r??ductible avec une application aux beta-shifts, Annales de l???institut Fourier, vol.56, issue.7, pp.2213-2248, 2006.
DOI : 10.5802/aif.2238

M. Barge, Factors of Pisot tiling spaces and the Coincidence Rank Conjecture, Bulletin de la Société mathématique de France, vol.143, issue.2, 2013.
DOI : 10.24033/bsmf.2691

M. Barge, Pure discrete spectrum for a class of one-dimensional substitution tiling systems, Discrete and Continuous Dynamical Systems, vol.36, issue.3, 2014.
DOI : 10.3934/dcds.2016.36.1159

M. Barge and B. Diamond, A complete invariant for the topology of one-dimensional substitution tiling spaces, Ergodic Theory and Dynamical Systems, vol.21, issue.05, pp.1333-1358, 2001.
DOI : 10.1017/S0143385701001638

M. Barge and B. Diamond, Proximality in Pisot tiling spaces, Fundamenta Mathematicae, vol.194, issue.3, pp.191-238, 2007.
DOI : 10.4064/fm194-3-1

M. Barge and B. Diamond, Cohomology in one-dimensional substitution tiling spaces, Proc. Amer, pp.2183-2191, 2008.
DOI : 10.1090/S0002-9939-08-09225-3

M. Barge and J. Gambaudo, Geometric realization for substitution tilings, Ergodic Theory and Dynamical Systems, vol.49, issue.02, pp.443-468, 2014.
DOI : 10.1017/S0143385700004417

M. Barge and J. Kellendonk, Proximality and pure point spectrum for tiling dynamical systems, The Michigan Mathematical Journal, vol.62, issue.4, pp.793-822, 2013.
DOI : 10.1307/mmj/1387226166

URL : https://hal.archives-ouvertes.fr/hal-00863847