Geometric representation of Jeandel-Rao aperiodic tilings

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Date(s) - 19/03/2019
11 h 00 min - 12 h 00 min


We prove that a minimal subshift in the Jeandel-Rao aperiodic Wang shift is isomorphic as measure-preserving dynamical system to a {{Z}}2-rotation on the torus {{T}}2. The proof is based on the substitutive structure of Jeandel-Rao aperiodic tilings described in some earlier work and on a renormalization scheme defined on partitions of the torus {{T}}2 and {{Z}}2-actions. As a consequence, this provides a construction of Jeandel-Rao aperiodic Wang tilings as model sets of cut and project schemes.

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