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.
read more
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.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Combinatorial and geometrical properties of a class of tilings
TL;DR: In this paper, the authors considered a tiling generated by a Pisot unit number of degree ω ≥ 3 and proved that the interior of each tile is connected. But they only considered the case where ω = 3.
•Posted Content
Tree substitutions and Rauzy fractals
TL;DR: In this article, a tree substitution is constructed to approximate the repelling real tree of the automorphism and images of this tree inside the Rauzy fractal when the substitution is irreducible Pisot.
3
Thermodynamic formalism and $k$-bonacci substitutions
TL;DR: In this article, the authors study k-bonacci substitutions through the point of view of thermodynamic formalism and prove the existence of a freezing phase transition which is realized by the only ergodic measure on the subshift associated to the substitution.
3
Rel leaves of the Arnoux-Yoccoz surfaces
W. Patrick Hooper,Barak Weiss +1 more
TL;DR: In this paper, the authors analyzed the rel leaves of the Arnoux-Yoccoz translation surfaces and showed that the leaf is dense in the connected component of the stratum to which it belongs, and the one-sided imaginary-rel trajectory of the surface is divergent.
3