Nombres algébriques et substitutions
TL;DR: In this paper, the conditions générales d'utilisation of commercial or impression systématique for copyright violation are discussed. But they do not consider the effect of the impression of a fichier on copyright.
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Abstract: © Bulletin de la S. M. F., 1982, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http://smf. emath.fr/Publications/Bulletin/Presentation.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
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Abstract numeration systems and tilings
Valérie Berthé,Michel Rigo +1 more
- 29 Aug 2005
TL;DR: The aim of the present paper is to associate with S a self-replicating multiple tiling of ăthe space, under the following assumption: the adjacency matrix of the trimmed minimal automaton recognizing L is primitive with a dominant eigenvalue being a Pisot unit.
Combinatorial and probabilistic properties of systems of numeration
Guy Barat,Peter J. Grabner +1 more
TL;DR: In this article, the authors studied the system of numeration defined by a strictly increasing sequence of positive integers by looking at the corresponding compactification K-G of N and the extension of the addition-by-one map tau on k-G (the "odometer").
Interval exchange transformations over algebraic number fields: the cubic Arnoux–Yoccoz model
TL;DR: Methods developed for two-dimensional piecewise isometries to the study of renormalizable interval exchange transformations over an algebraic number field, which lead to dynamics on lattices, are applied.
Autour du système de numération d'Ostrowski
TL;DR: In this article, the systeme de numeration d'Ostrowski is described as a combinatoire des mots, i.e. a combinatorial approach for decrire d'un point de vue tant combinatorie quarithmetique ou ergodique les suites sturmiennes.
Dynamics of self-similar tilings
TL;DR: The main focus of as mentioned in this paper is on spectral properties of self-similar and self-affine tilings, which are shown to be uniquely ergodic in terms of weak mixing and pure discrete spectrum.