Tiling Dynamical System (Morlet Chair Shigeki Akiyama)
School
CIRM, Luminy, Marseille
https://www.chairejeanmorlet.com/1720.html
Date(s) : 20/11/2017 - 24/11/2017 iCal
0h00
CIRM – Jean-Morlet Chair
Shigeki AKIYAMA – PIERRE ARNOUX
Tiling & Discrete Geometry
Pavages et géométrie discrète
Tiling Dynamical System (1720)
Pavages et systèmes dynamiques
Dates:20-24 November 2017 at CIRM (Marseille Luminy, France)
DESCRIPTION
Tiling dynamical system gives a generalization of substitutive dynamical system. It gives a nice model of quasi-crystals, recognized as another new stable state of real materials. International experts on this topic will meet PhD students interested in this developing area. Basic terminology in tiling and point sets Spectral property of tiling dynamical systems Recurrence property of tilings References |
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SCIENTIFIC COMMITTEE
ORGANIZING COMMITTEE
MAIN SPEAKERS
Introduction to hierarchical tiling dynamical systems
Undecidability of the Domino Problem
Operators, Algebras and their Invariants for Aperiodic Tilings
From combinatorial games to shape-symmetric morphisms
Delone sets and Tilings
S-adic sequences A bridge between dynamics, arithmetic, and geometry OTHER PRESENTERS
Invariant measures for actions of congruent monotilable amenable groups (pdf)
Distribution of modular symbols: a dynamical approach
Algorithmical properties of transducer groups and tilings
Balanced parentheses and the E-polynomials of the Hilbert scheme of n points on a torus (pdf)
Outer billiards outside regular polygons: sets of full measure and aperiodic points (pdf) (poster)
Uncountably Many Ergodic Maximizing Measures for Dense Continuous Functions (pdf)
Kakutani’s splitting procedure for substitution partitions
Tiling Dynamical Systems (pdf)
Products of two Cantor sets and application to the Labyrinth model (pdf)
The space-filling curve of self-similar sets: two examples (pdf) |
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