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Substitution and Tiling Dynamics: Introduction to Self-inducing Structures
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2622624Substitution and Tiling Dynamics: Introduction to Self-inducing Structureshttps://www.gandhi.com.mx/substitution-and-tiling-dynamics-introduction-to-self-inducing-structures-9783030576660/phttps://gandhi.vtexassets.com/arquivos/ids/3276517/a9dab0ce-56a7-47fb-ba6b-c046ba80af57.jpg?v=63838513614683000013471497MXNSpringer International PublishingInStock/Ebooks/<p>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.</p><p>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 Shechtmans 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.</p><p>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.</p>...2558707Substitution and Tiling Dynamics: Introduction to Self-inducing Structures13471497https://www.gandhi.com.mx/substitution-and-tiling-dynamics-introduction-to-self-inducing-structures-9783030576660/phttps://gandhi.vtexassets.com/arquivos/ids/3276517/a9dab0ce-56a7-47fb-ba6b-c046ba80af57.jpg?v=638385136146830000InStockMXN99999DIEbook20209783030576660_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_<p>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.</p><p>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 Shechtmans 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.</p><p>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.</p>(*_*)9783030576660_<p>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.</p><p>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 Shechtmans 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.</p><p>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.</p>...9783030576660_Springer International Publishinglibro_electonico_ed6bb0e6-08e9-3037-8b83-e64f862bc746_9783030576660;9783030576660_9783030576660InglésMéxico2020-12-05T00:00:00+00:00Springer International Publishing