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Lecture on Delone sets and tilings

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Authors : Solomyak, Boris (Author of the conference)
CIRM (Publisher )

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Abstract : 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.

MSC Codes :
37B50 - Multi-dimensional shifts of finite type, tiling dynamics
52C23 - Quasicrystals, aperiodic tilings

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 28/11/2017
    Conference Date : 22/11/2017
    Subseries : Research School
    arXiv category : Dynamical Systems ; Metric Geometry
    Mathematical Area(s) : Dynamical Systems & ODE ; Geometry
    Format : MP4 (.mp4) - HD
    Video Time : 01:21:10
    Targeted Audience : Researchers ; Graduate Students
    Download : https://videos.cirm-math.fr/2017-11-22_Solomyak.mp4

Information on the Event

Event Title : Jean-Morlet chair - Research school: Tiling dynamical system / Chaire Jean-Morlet - École de recherche : Pavages et systèmes dynamiques
Event Organizers : Akiyama, Shigeki ; Arnoux, Pierre
Dates : 20/11/2017 - 24/11/2017
Event Year : 2017
Event URL : https://www.chairejeanmorlet.com/1720.html

Citation Data

DOI : 10.24350/CIRM.V.19249103
Cite this video as: Solomyak, Boris (2017). Lecture on Delone sets and tilings. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19249103
URI : http://dx.doi.org/10.24350/CIRM.V.19249103

See Also

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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