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math.DS2013★ 15 cited
When periodicities enforce aperiodicity
Nicolas Bédaride, Thomas Fernique
Aperiodic tilings are non-periodic tilings defined by local rules. They are widely used to model quasicrystals, and a central question is to understand which of the non-periodic ti…
math.DS2013
Symbolic dynamics for the piecewise rotations: Case of the bijective symmetric maps
Nicolas Bédaride, Idrissa Kaboré
We consider a specific %piecewise rotation of the plane that is continuous on two half-planes, class of piecewise rotations of the plane that are continuous on two half-planes, as…