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Aperiodic Order.
A comprehensive introductory monograph on the theory of aperiodic order, with numerous illustrations and examples.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2013.
|
| Colección: | Encyclopedia of mathematics and its applications.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mu 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn904404337 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 150304s2013 enk o 000 0 eng d | ||
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| 020 | |a 9781316184035 | ||
| 020 | |a 131618403X | ||
| 029 | 1 | |a AU@ |b 000056075688 | |
| 035 | |a (OCoLC)904404337 | ||
| 050 | 4 | |a QA640.72 .B33 2015 | |
| 082 | 0 | 4 | |a 548.7 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Baake, Michael. | |
| 245 | 1 | 0 | |a Aperiodic Order. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2013. | ||
| 300 | |a 1 online resource (553 pages). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Encyclopedia of Mathematics and its Applications ; |v v. 149 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Half-title; Series information; Title page; Copyright information; Table of contents; Foreword; Preface; Chapter 1 Introduction; Chapter 2 Preliminaries; 2.1. Point sets; 2.2. Voronoi and Delone cells; 2.3. Groups; 2.4. Perron-Frobenius theory; 2.5. Number-theoretic tools; Chapter 3 Lattices and Crystals; 3.1. Periodicity and lattices; 3.2. The crystallographic restriction; 3.3. Root lattices; 3.4. Minkowski embedding; Chapter 4 Symbolic Substitutions and Inflations; 4.1. Substitution rules; 4.2. Hulls and their properties; 4.3. Symmetries, invariant measures and ergodicity. | |
| 505 | 8 | |a 4.4. Metallic means sequences4.5. Period doubling and paper folding; 4.6. Thue-Morse substitution; 4.7. Rudin-Shapiro and Kolakoski sequences; 4.8. Complexity and further directions; 4.9. Block substitutions; Chapter 5 Patterns and Tilings; 5.1. Patterns and local indistinguishability; 5.2. Local derivability; 5.3. Repetitivity and finite local complexity; 5.4. Geometric hull; 5.5. Proximality; 5.6. Symmetry and inflation; 5.7. Local rules; Chapter 6 Inflation Tilings; 6.1. Ammann-Beenker tilings; 6.2. Penrose tilings and their relatives; 6.3. Square triangle and shield tilings. | |
| 505 | 8 | |a 6.4. Planar tilings with integer inflation multiplier6.5. Examples of non-Pisot tilings; 6.6. Pinwheel tilings; 6.7. Tilings in higher dimensions; 6.8. Colourful examples; Chapter 7 Projection Method and Model Sets; 7.1. Silver mean chain via projection; 7.2. Cut and project schemes and model sets; 7.3. Cyclotomic model sets; 7.4. Icosahedral model sets and beyond; 7.5. Alternative constructions; Chapter 8 Fourier Analysis and Measures; 8.1. Fourier series; 8.2. Almost periodic functions; 8.3. Fourier transform of functions; 8.4. Fourier transform of distributions. | |
| 505 | 8 | |a 8.5. Measures and their decomposition8.6. Fourier transform of measures; 8.7. Fourier-Stieltjes coefficients of measures on S1; 8.8. Volume averaged convolutions; Chapter 9 Diffraction; 9.1. Mathematical diffraction theory; 9.2. Poisson's summation formula and perfect crystals; 9.3. Autocorrelation and diffraction of the silver mean chain; 9.4. Autocorrelation and diffraction of regular model sets; 9.5. Pure point diffraction of weighted Dirac combs; 9.6. Homometric point sets; Chapter 10 Beyond Model Sets; 10.1. Diffraction of the Thue-Morse chain. | |
| 505 | 8 | |a 10.2. Diffraction of the Rudin-Shapiro chain10.3. Diffraction of lattice subsets; 10.4. Visible lattice points; 10.5. Extension to Meyer sets; Chapter 11 Random Structures; 11.1. Probabilistic preliminaries; 11.2. Bernoulli systems; 11.3. Renewal processes on the line; 11.4. Point processes from random matrix theory; 11.5. Lattice systems with interaction; 11.6. Random tilings; Appendix A The Icosahedral Group; Appendix B The Dynamical Spectrum; References; List of Definitions; List of Examples; List of Remarks; Index. | |
| 520 | |a A comprehensive introductory monograph on the theory of aperiodic order, with numerous illustrations and examples. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Aperiodicity. | |
| 650 | 0 | |a Crystallography, Mathematical. | |
| 650 | 6 | |a Apériodicité. | |
| 650 | 6 | |a Cristallographie mathématique. | |
| 650 | 7 | |a Aperiodicity |2 fast | |
| 650 | 7 | |a Crystallography, Mathematical |2 fast | |
| 700 | 1 | |a Grimm, Uwe. | |
| 758 | |i has work: |a Aperiodic order (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGkwhBQQHXbV86YqPKc3wC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Baake, Michael. |t Aperiodic Order: Volume 1, A Mathematical Invitation. |d Cambridge : Cambridge University Press, ©2013 |z 9780521869911 |
| 830 | 0 | |a Encyclopedia of mathematics and its applications. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1823053 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH34205210 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH33402764 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH27275426 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL1823053 | ||
| 994 | |a 92 |b IZTAP | ||