000			03651nam a22005775i 4500
001			978-3-642-11212-6
003			DE-He213
005			20160624101836.0
007			cr nn 008mamaa
008			100715s2010 gw | s |||| 0|eng d
020			_a9783642112126 _9978-3-642-11212-6
024	7		_a10.1007/978-3-642-11212-6 _2doi
050		4	_aQA313
072		7	_aPBWR _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515.39 _223
082	0	4	_a515.48 _223
100	1		_aQueffélec, Martine. _eauthor.
245	1	0	_aSubstitution Dynamical Systems - Spectral Analysis _h[electronic resource] / _cby Martine Queffélec.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
300			_aXV, 351p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1294
505	0		_aThe Banach Algebra (T) -- Spectral Theory of Unitary Operators -- Spectral Theory of Dynamical Systems -- Dynamical Systems Associated with Sequences -- Dynamical Systems Arising from Substitutions -- Eigenvalues of Substitution Dynamical Systems -- Matrices of Measures -- Matrix Riesz Products -- Bijective Automata -- Maximal Spectral Type of General Automata -- Spectral Multiplicity of General Automata -- Compact Automata.
520			_aThis volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata. Those sequences demonstrate fairly simple combinatorical and arithmetical properties and naturally appear in various domains. As the title suggests, the aim of the initial version of this book was the spectral study of the associated dynamical systems: the first chapters consisted in a detailed introduction to the mathematical notions involved, and the description of the spectral invariants followed in the closing chapters. This approach, combined with new material added to the new edition, results in a nearly self-contained book on the subject. New tools - which have also proven helpful in other contexts - had to be developed for this study. Moreover, its findings can be concretely applied, the method providing an algorithm to exhibit the spectral measures and the spectral multiplicity, as is demonstrated in several examples. Beyond this advanced analysis, many readers will benefit from the introductory chapters on the spectral theory of dynamical systems; others will find complements on the spectral study of bounded sequences; finally, a very basic presentation of substitutions, together with some recent findings and questions, rounds out the book.
650		0	_aMathematics.
650		0	_aHarmonic analysis.
650		0	_aDifferentiable dynamical systems.
650		0	_aFourier analysis.
650		0	_aOperator theory.
650		0	_aNumber theory.
650	1	4	_aMathematics.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aFourier Analysis.
650	2	4	_aNumber Theory.
650	2	4	_aMeasure and Integration.
650	2	4	_aOperator Theory.
650	2	4	_aAbstract Harmonic Analysis.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642112119
786			_dSpringer
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1294
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-11212-6
942			_2EBK1932 _cEBK
999			_c31226 _d31226