Students talks & tutorials (+slides)

Mauricio Allendes Cerda (University of Chile): Continuous eigenvalues for Meyer sets. [Slides]

Abstract: [.pdf]

Ilya Galanov (Université Paris 13, LIPN):  On self-assembly of aperiodic tilings. [Slides] and [Online Self-Assembly program]

Abstract: Aperiodic tilings serve as a mathematical model for quasicrystals, such crystals that do not have any translational symmetry. Question about how quasicrystals grow still remains open. In this talk I will present the algorithm for growing defect free Penrose tilings using local rules based on paper “Growth rules for quasicrystals” by Joshua Socolar. And state necessary conditions for deterministic growth of cut-and-project aperiodic tilings using “defective seeds".

Silvère Gangloff (Institut de Mathématiques de Toulouse): Information processing into hierarchical structures under dynamical constraints.

Abstract: Hochman and Meyerovitch (2010) and Meyerovitch (2011) gave characterizations of topological invariants of multidimensional subshifts using computability conditions. They used subshifts in which hierarchical structures appear into which are implemented some Turing machines used to verify frequency conditions on symbols of the subshift's alphabet. We propose adaptations to these results for subshifts under dynamical constraints : transitivity for the entropy characterization, and minimality for the entropy dimension.

Edin Liđan  (University of Bihac): Homology groups of generalized polyomino type tilings. [Slides]

Abstract: [.pdf]

Victor Lutfalla (University of Turku): Substitution cut-and-project tilings. [Slides]

Abstract: In this talk I will present our work on substitution cut-and-project tilings with n-fold rotational symmetry. I will detail the case of 7-fold rotational symmetry and present our methodology for the study of 2k+1-fold symmetry.

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TikZ tutorial [slides] and [source files].