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Atahualpa S. Kraemer: „Embedding quasicrystals in a periodic cell: Dynamics in quasiperiodic structures”
National University of Mexico

I will introduce a construction to "periodize" a quasiperiodic lattice of obstacles, i.e., embed it into a unit cell in a higher-dimensional space, reversing the projection method used to form quasilattices. This gives an algorithm for simulating dynamics, as well as a natural notion of uniform distribution, in quasiperiodic structures. With this construction I will also show the generic existence of channels, where particles travel without colliding, up to a critical obstacle radius, which I calculated previously for a Penrose tiling. As an application, I will show simulation were we found superdiffusion in the presence of channels, and a subdiffusive regime when obstacles overlap.