Pierre Arnoux – författare
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3 produkter
3 produkter
Del 2273 - Lecture Notes in Mathematics
Substitution and Tiling Dynamics: Introduction to Self-inducing Structures
CIRM Jean-Morlet Chair, Fall 2017
Häftad, Engelska, 2020
427 kr
Skickas inom 5-8 vardagar
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.
E-bok
Engelska, 2020924 kr
Läs direkt efter köp
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.
E-bok
Engelska, 201647 kr
Läs direkt efter köp
This publication is a result of a 2-year innovative, exploratory, and reflective study of cities as unique urban spaces that support life, work, and play. It responds to major issues that affect the quality of life of urban residents. This publication offers practical ways on how urban managers, urban practitioners, businesspeople, and citizens can engage to make cities more livable by building on their distinctive physical, social, cultural, and economic characteristics. With the adoption of the Sustainable Development Goals by the United Nations, the book comes at the right time to offer integrated urban development solutions that can translate global development commitments into urban-level actions to achieve livable cities.