LEADER 03776nam 2200649 450 001 9910483479903321 005 20210218190142.0 010 $a1-280-39165-0 010 $a9786613569578 010 $a3-642-11212-9 024 7 $a10.1007/978-3-642-11212-6 035 $a(CKB)2670000000010219 035 $a(EBL)3065032 035 $a(SSID)ssj0000399639 035 $a(PQKBManifestationID)11322258 035 $a(PQKBTitleCode)TC0000399639 035 $a(PQKBWorkID)10384664 035 $a(PQKB)10234282 035 $a(DE-He213)978-3-642-11212-6 035 $a(MiAaPQ)EBC3065032 035 $a(MiAaPQ)EBC6351781 035 $a(PPN)149078633 035 $a(EXLCZ)992670000000010219 100 $a20210218d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSubstitution dynamical systems, spectral analysis. /$fMartine Queffe?lec 205 $a2nd ed. 2010. 210 1$aHeidelberg, Germany ;$aNew York, New York :$cSpringer-Verlag,$d[2010] 210 4$dİ2010 215 $a1 online resource (366 p.) 225 1 $aLecture notes in mathematics ;$v1294 300 $aDescription based upon print version of record. 311 $a3-642-11211-0 311 $a3-642-11255-2 320 $aIncludes bibliographical references (pages [335]-344) and index. 327 $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. 330 $aThis volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata. Those sequences demonstrate fairly simple combinatorical and arithmetical properties and naturally appear in various domains. As the title suggests, the aim of the initial version of this book was the spectral study of the associated dynamical systems: the first chapters consisted in a detailed introduction to the mathematical notions involved, and the description of the spectral invariants followed in the closing chapters. This approach, combined with new material added to the new edition, results in a nearly self-contained book on the subject. New tools - which have also proven helpful in other contexts - had to be developed for this study. Moreover, its findings can be concretely applied, the method providing an algorithm to exhibit the spectral measures and the spectral multiplicity, as is demonstrated in several examples. Beyond this advanced analysis, many readers will benefit from the introductory chapters on the spectral theory of dynamical systems; others will find complements on the spectral study of bounded sequences; finally, a very basic presentation of substitutions, together with some recent findings and questions, rounds out the book. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1294. 606 $aSpectral theory (Mathematics) 606 $aPoint mappings (Mathematics) 606 $aDifferentiable dynamical systems 615 0$aSpectral theory (Mathematics) 615 0$aPoint mappings (Mathematics) 615 0$aDifferentiable dynamical systems. 676 $a515/.39 700 $aQueffe?lec$b Martine$058504 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483479903321 996 $aSubstitution dynamical systems - spectral analysis$980386 997 $aUNINA