18 citations · 75 across the 16 of their papers we have counts for
19 papers
Cohomology groups for spaces of 12-fold tilings
Nicolas Bedaride, Franz Gahler, Ana G. Lecuona
We consider tilings of the plane with 12-fold symmetry obtained by the cut and projection method. We compute their cohomology groups using the techniques introduced by the second a…
Canonical projection tilings defined by patterns
Nicolas Bédaride, Thomas Fernique
We give a necessary and sufficient condition on a -dimensional affine subspace of to be characterized by a finite set of patterns which are forbidden to appear in…
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…
Topological substitutions and Rauzy fractals
Nicolas Bédaride, Arnaud Hilion, Timo Jolivet
We consider two families of planar self-similar tilings of different nature: the tilings consisting of translated copies of the fractal sets defined by an iterated function system,…
Weak local rules for planar octagonal tilings
Nicolas Bédaride, Thomas Fernique
We provide an effective characterization of the planar octagonal tilings which admit weak local rules. As a corollary, we show that they are all based on quadratic irrationalities,…
Thermodynamic formalism and Substitutions
Nicolas Bedaride, Pascal Hubert, Renaud Leplaideur
This paper studies properties of a Renormalization Operator for potentials in symbolic dynamics. These operators first appeared in \cite{BLL} and the link with substitutions was do…