1 citations · 1 across the 2 of their papers we have counts for
5 papers
Nonstationary Markov Partitions and Multidimensional Continued Fraction Algorithms
Pierre Arnoux, Valérie Berthé, Milton Minervino +2
It is well known from results of Sina\uı and Bowen that a hyperbolic toral automorphism admits a Markov partition. Our aim is to generalize this concept to the nonstationary case,…
Tree substitutions and Rauzy fractals
Thierry Coulbois, Milton Minervino
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…
Geometrical models for a class of reducible Pisot substitutions
Benoit Loridant, Milton Minervino
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 extens…
The geometry of non-unit Pisot substitutions
Milton Minervino, Jörg Thuswaldner
Let be a non-unit Pisot substitution and let be the associated Pisot number. It is known that one can associate certain fractal tiles, so-called \emph{Rauzy fractals}, with…
Tilings for Pisot beta numeration
Milton Minervino, Wolfgang Steiner
For a (non-unit) Pisot number , several collections of tiles are associated with -numeration. This includes an aperiodic and a periodic one made of Rauzy fractals, a periodic…