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8 papers · 2 filters
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…
Quantified block gluing, aperiodicity and entropy of multidimensional SFT
Silvère Gangloff, Mathieu Sablik
It is possible to define mixing properties for subshifts according to the intensity which allows to concatenate two rectangular blocks. We study the interplay between this intensit…
Pseudo-physical measures for typical continuous maps of the interval
Eleonora Catsigeras, Serge Troubetzkoy
We study the measure theoretic properties of typical C 0 maps of the interval. We prove that any ergodic measure is pseudo-physical, and conversely, any pseudo-physical measure is…
Symbolic dynamics of a piecewise rotation: case of the non symmetric bijective maps
Nicolas Bédaride, Idrissa Kaboré
We consider a specific piecewise rotation of the plane that is continuous on two half-planes, as studied by some authors like Boshernitzan, Goetz and Quas. If the angle belongs to…
On the stratification by orbit types II
Julien Giacomoni
When we have a proper action of a Lie group on a manifold, it is well known that we get a stratification by orbit types and it is known that this stratification satisfies the Whitn…
Rigidity of square-tiled interval exchange transformations
Sébastien Ferenczi, Pascal Hubert
We look at interval exchange transformations defined as first return maps on the set of diagonals of a flow of direction on a square-tiled surface: using a combinatorial approa…