000 04062nam a22005655i 4500
001 978-3-642-11212-6
003 DE-He213
005 20190213151047.0
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 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
100 1 _aQueffélec, Martine.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aSubstitution Dynamical Systems - Spectral Analysis
_h[electronic resource] /
_cby Martine Queffélec.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXV, 351 p.
_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 _aGlobal analysis (Mathematics).
650 0 _aDifferentiable dynamical systems.
650 0 _aFourier analysis.
650 0 _aNumber theory.
650 0 _aMathematics.
650 0 _aOperator theory.
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aDynamical Systems and Ergodic Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M1204X
650 2 4 _aFourier Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12058
650 2 4 _aNumber Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M25001
650 2 4 _aMeasure and Integration.
_0http://scigraph.springernature.com/things/product-market-codes/M12120
650 2 4 _aOperator Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M12139
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642112553
776 0 8 _iPrinted edition:
_z9783642112119
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1294
856 4 0 _uhttps://doi.org/10.1007/978-3-642-11212-6
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c9376
_d9376