Substitution and Tiling Dynamics: Introduction to Self-Inducing Structures: Cirm Jean-Morlet Chair, Fall 2017
Akiyama, Shigeki, Arnoux, Pierre
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Delone sets and dynamical systems.- Introduction to hierarchical tiling dynamical systems.- S-adic sequences: dynamics, arithmetic, and geometry.- Operators and Algebras for Aperiodic Tilings.- From games to morphisms.- The Undecidability of the Domino Problem.- Renormalisation for block substitutions.- Yet another characterization of the Pisot conjecture.