Beyond Quasicrystals

Les Houches, March 7–18, 1994

AvFrancoise Axel,Denis Gratias

Häftad, Engelska, 1995

Del i serien Centre de Physique des Houches

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Beskrivning

This work presents geometric and topological properties of quasicrystals and studies diffraction theory of long-range objects with non-trivial order. The book aims to provide a rigorous framework for sequences generation and Fourier analysis. In addition, great care is taken to explain the physical implications of the mathematical concepts.

Produktinformation

Utgivningsdatum:1995-05-29
Mått:155 x 235 x 34 mm
Vikt:949 g
Format:Häftad
Språk:Engelska
Serie:Centre de Physique des Houches
Antal sidor:619
Upplaga:1995
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540592518

Utforska kategorier

Innehållsförteckning

Quasicrystals ....- Course 1 Quasicrystals, diophantine approximation and algebraic numbers.- Course 2 The pentacrystals.- Course 3 Elements of a multimetrical crystallography.- Course 4 Non-commutative models for quasicrystals.- Course 5 From quasiperiodic to more complex systems.- Course 6 Matching rules and quasiperiodicity: the octagonal tilings.- Course 7 A mechanism for diffusion in quasicrystals.- Course 8 Experimental aspects of the structure analysis of aperiodic materials.- Course 9 Scattering on aperiodic superlattices.- Course 10 Defects in quasicrystals, in systems with deterministic disorder and in amorphous materials.- ...and Beyond.- Course 11 Automata and automatic sequences.- Course 12 Spectral study of automatic and substitutive sequences.- Course 13 Random and automatic walks.- Course 14 Singular words, invertible substitutions and local isomorphisms.- Course 15 Entropy in deterministic and random systems.- Course 16 Trace maps.- Course 17 Schrödinger difference equation with deterministic ergodic potentials.- Course 18 Schrödinger equation in a hierarchical potential.- Course 19 Introduction to multifractal analysis.- Appendix 1. Legendre transforms.- Appendix 2. Large deviations.- Annexes.- Current deterministic sequences.- Extra references.