Výsledky vyhledávání - "Minervino, Milton"

Report

Autor: Coulbois, Thierry, Minervino, Milton

We work with attracting subshifts generated by substitutions which are also irreducible parageometric automorphisms of free groups. For such a dynamical system, we construct a tree substitution to approximate the repelling real tree of the automorphi

Externí odkaz: http://arxiv.org/abs/1711.03535

Zobrazit plný text záznamu

Report

Geometrical models for a class of reducible Pisot substitutions

Autor: Loridant, Benoit, Minervino, Milton

We set up a geometrical theory for the study of the dynamics of reducible Pisot substitutions. It is based on certain Rauzy fractals generated by duals of higher dimensional extensions of substitutions. We obtain under certain hypotheses geometric re

Externí odkaz: http://arxiv.org/abs/1612.08373

Zobrazit plný text záznamu

Report

The $S$-adic Pisot conjecture on two letters

Autor: Berthé, Valérie, Minervino, Milton, Steiner, Wolfgang, Thuswaldner, Jörg

We prove an extension of the well-known Pisot substitution conjecture to the $S$-adic symbolic setting on two letters. The proof relies on the use of Rauzy fractals and on the fact that strong coincidences hold in this framework.
Comment: 11 pag

Externí odkaz: http://arxiv.org/abs/1501.07085

Zobrazit plný text záznamu

Report

The geometry of non-unit Pisot substitutions

Autor: Minervino, Milton, Thuswaldner, Jörg

Publikováno v: Annales de l'Institut Fourier, Volume 64 (2014)

Let $\sigma$ be a non-unit Pisot substitution and let $\alpha$ be the associated Pisot number. It is known that one can associate certain fractal tiles, so-called \emph{Rauzy fractals}, with $\sigma$. In our setting, these fractals are subsets of a c

Externí odkaz: http://arxiv.org/abs/1402.2002

Zobrazit plný text záznamu

Report

Tilings for Pisot beta numeration

Autor: Minervino, Milton, Steiner, Wolfgang

For a (non-unit) Pisot number $\beta$, several collections of tiles are associated with $\beta$-numeration. This includes an aperiodic and a periodic one made of Rauzy fractals, a periodic one induced by the natural extension of the $\beta$-transform

Externí odkaz: http://arxiv.org/abs/1310.1277

Zobrazit plný text záznamu