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Substitution and Tiling Dynamics: Introduction to Self-inducing Structures
- CIRM Jean-Morlet Chair, Fall 2017
Engelsk Paperback
Substitution and Tiling Dynamics: Introduction to Self-inducing Structures
- CIRM Jean-Morlet Chair, Fall 2017
Engelsk Paperback

621 kr
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Om denne bog
This book presents a panorama of recent developments in the theory of tilings and related dynamical systems. It contains an expanded version of courses given in 2017 at the research school associated with the Jean-Morlet chair program. Tilings have been designed, used and studied for centuries in various contexts. This field grew significantly after the discovery of aperiodic self-similar tilings in the 60s, linked to the proof of the undecidability of the Domino problem, and was driven futher by Dan Shechtman's discovery of quasicrystals in 1984. Tiling problems establish a bridge between  the mutually influential fields of geometry, dynamical systems, aperiodic order, computer science, number theory, algebra and logic. The main properties of tiling dynamical systems are covered, with expositions  on  recent results in self-similarity (and its generalizations, fusions rules and S-adic systems), algebraic developments connected to physics, games and undecidability questions, and  the spectrum of substitution tilings.
Product detaljer
Sprog:
Engelsk
Sider:
456
ISBN-13:
9783030576653
Indbinding:
Paperback
Udgave:
ISBN-10:
3030576655
Udg. Dato:
6 dec 2020
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer Nature Switzerland AG
Oplagsdato:
6 dec 2020
Forfatter(e):
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