Verfügbarkeit: Substitution dynamical systems - spectral analysis

Substitution dynamical systems - spectral analysis:

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Bibliographische Detailangaben
Beteilige Person:	Queffélec, Martine (VerfasserIn)
Format:	Buch
Sprache:	Deutsch
Veröffentlicht:	Berlin u.a. Springer 1987
Schriftenreihe:	Lecture notes in mathematics 1294
Schlagwörter:	Spektraltheorie Substitution Dynamisches System
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000481488&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XIII, 240 S.
ISBN:	3540186921 0387186921

Internformat

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Datensatz im Suchindex

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adam_text	CONTENTS PREFACE INTRODUCTION CHAPTER I THE ALGEBRA M(T) 1 1. Basic definitions 1 2. Generalized characters 4 3. Generalized Riesz products 7 4. Idempotents in A and decompositions of M(T) .. 11 5. Dirichlet measures 12 CHAPTER II SPECTRAL THEORY OF UNITARY OPERATORS 15 1. Representation theorem of unitary operators .... 15 2. Simple spectrum 20 3. Spectral decomposition theorems 22 4. Eigenvalues and discrete spectrum 30 CHAPTER III SPECTRAL THEORY OF DYNAMICAL SYSTEMS 35 1. Ergodicity 35 2. Ergodlc theorems 38 3. Purity laws and D ergodicity 40 4. Ergodic discrete systems 44 5. Mixing properties 47 6. Example 55 CHAPTER IV DYNAMICAL SYSTEMS ASSOCIATED TO SEQUENCES ... 60 1. Topological dynamical systems 60 2. Systems associated to sequences taking values in a finite set 69 3. Spectral properties of sequences 73 CHAPTER V DYNAMICAL SYSTEMS ARISING FROM SUBSTITUTIONS . 87 1. Definitions and notations 87 2. Minimality of the topological system 89 XII 3. C matrix. Positive matrices 4. Unique ergodicity of the system (X(c),T) 95 5. Matrices M^ 1°° 6. Complexity and topological entropy 104 7. Recognizability property 108 CHAPTER VI EIGENVALUES OF SUBSTITUTION DYNAMICAL SYSTEM. 1. £(X) induced transformation 11° 2. Eigenvalues of an admissible substitution of constant length 116 3. Eigenvalues of an admissible substitution of non constant length 125 4. Discrete substitution of constant length 132 5. Open problems 136 CHAPTER VII MATRICES OF MEASURES 144 1. Reduction to the matrix E 144 2. Matrices of measures 151 3. Characters on a matrix of measures 156 CHAPTER VIII MATRIX RIESZ PRODUCTS 160 1. £ as matrix Riesz product 160 2. Examples of maximal spectral type 164 3. Commutative automata 169 CHAPTER IX BIJECTIVE AUTOMATA OR SUBSTITUTIONS 174 1. Structure of bijective substitution systems ... 175 2. Spectral study of bijective substitutions 180 CHAPTER X MAXIMAL SPECTRAL TYPE OF GENERAL AUTOMATA .. 19° 1. Colcidence matrix 190 2. Projection operator P 195 3. Matrix of correlation measures Z 200 4. Main theorem 205 CHAPTER XI SPECTRAL MULTIPLICITY OF GENERAL AUTOMATA ... 210 1. The convex set K 210 2. Spectral multiplicity of substitutions of cons¬ tant length 216 3. More about spectral multiplicity 224 XIII APPENDIX COMPACT AUTOMATA 225 BIBLIOGRAPHY 231 INDEX 239
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indexdate	2024-12-20T07:26:25Z
institution	BVB
isbn	3540186921 0387186921
language	German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-000481488
oclc_num	246275041
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physical	XIII, 240 S.
publishDate	1987
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publisher	Springer
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series	Lecture notes in mathematics
series2	Lecture notes in mathematics
spellingShingle	Queffélec, Martine Substitution dynamical systems - spectral analysis Lecture notes in mathematics Spektraltheorie (DE-588)4116561-5 gnd Substitution (DE-588)4183925-0 gnd Dynamisches System (DE-588)4013396-5 gnd
subject_GND	(DE-588)4116561-5 (DE-588)4183925-0 (DE-588)4013396-5
title	Substitution dynamical systems - spectral analysis
title_auth	Substitution dynamical systems - spectral analysis
title_exact_search	Substitution dynamical systems - spectral analysis
title_full	Substitution dynamical systems - spectral analysis
title_fullStr	Substitution dynamical systems - spectral analysis
title_full_unstemmed	Substitution dynamical systems - spectral analysis
title_short	Substitution dynamical systems - spectral analysis
title_sort	substitution dynamical systems spectral analysis
topic	Spektraltheorie (DE-588)4116561-5 gnd Substitution (DE-588)4183925-0 gnd Dynamisches System (DE-588)4013396-5 gnd
topic_facet	Spektraltheorie Substitution Dynamisches System
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000481488&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000676446
work_keys_str_mv	AT queffelecmartine substitutiondynamicalsystemsspectralanalysis

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