Beyond Quasicrystals

Table of Contents

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   Book Overview
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   Chapter 1 Quasicrystals, Diophantine approximation and algebraic numbers
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   Chapter 2 The pentacrystals
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   Chapter 3 Elements of a multimetrical crystallography
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   Chapter 4 Non-commutative Models for Quasicrystals
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   Chapter 5 From Quasiperiodic to More Complex Systems
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   Chapter 6 Matching Rules and Quasiperiodicity: the Octagonal Tilings
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   Chapter 7 A mechanism for diffusion in quasicrystals
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   Chapter 8 Experimental aspects of the structure analysis of aperiodic materials
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    Chapter 9 Scattering on aperiodic superlattices
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    Chapter 10 Defects in quasicrystals, in systems with deterministic disorder and in amorphous materials
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    Chapter 11 Automata and automatic sequences
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    Chapter 12 Spectral study of automatic and substitutive sequences
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    Chapter 13 Random and automatic walks
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    Chapter 14 Singular words, invertible substitutions and local isomorphisms
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    Chapter 15 Entropy in deterministic and random systems
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    Chapter 16 Trace maps
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    Chapter 17 Schrödinger difference equation with deterministic ergodic potentials
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    Chapter 18 Schrödinger equation in a hierarchical potential
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    Chapter 19 Introduction to multifractal analysis