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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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Substitution and Tiling Dynamics: Introduction to Self-inducing Structures - CIRM Jean-Morlet Chair, Fall 2017 (Paperback, 1st ed. 2020)
Loot Price: R1,943
Discovery Miles 19 430
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Substitution and Tiling Dynamics: Introduction to Self-inducing Structures - CIRM Jean-Morlet Chair, Fall 2017 (Paperback, 1st ed. 2020)
Series: Lecture Notes in Mathematics, 2273
Expected to ship within 10 - 15 working days
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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.
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