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Lecture on Delone sets and tilings

By Boris Solomyak

Appears in collections : Jean-Morlet chair - Research school: Tiling dynamical system / Chaire Jean-Morlet - École de recherche : Pavages et systèmes dynamiques, Ecoles de recherche

In this lecture we focus on selected topics around the themes: Delone sets as models for quasicrystals, inflation symmetries and expansion constants, substitution Delone sets and tilings, and associated dynamical systems.

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Citation data

  • DOI 10.24350/CIRM.V.19249103
  • Cite this video Solomyak, Boris (22/11/2017). Lecture on Delone sets and tilings. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19249103
  • URL https://dx.doi.org/10.24350/CIRM.V.19249103

Bibliography

  • Lagarias, J.C., & Wang, Y. (2003). Substitution Delone sets. Discrete and Computational Geometry, 29(2), 175-209 - http://dx.doi.org/10.1007/s00454-002-2820-6
  • Lagarias, J.C. (2000). Mathematical quasicrystals and the problem of diffraction. In M. Baake, & R.V. Moody (Eds.), Directions in Mathematical Quasicrystals (pp. 61-93). Providence, RI: American Mathematical Society - http://bookstore.ams.org/crmm-13/
  • Lagarias, J.C. (1999). Geometric models for quasicrystals I. Delone sets of finite type. Discrete and Computational Geometry, 21(2), 161-191 - http://dx.doi.org/10.1007/PL00009413
  • Thurston, W.P (1989). Groups, tilings, and finite state automata. AMS colloquium lecture notes, 1989 -

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