Cargando…
Substitution Dynamical Systems - Spectral Analysis
This 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, t...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2010.
|
| Edición: | 2nd ed. 2010. |
| Colección: | Lecture Notes in Mathematics,
1294 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-11212-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220117013945.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100715s2010 gw | s |||| 0|eng d | ||
| 020 | |a 9783642112126 |9 978-3-642-11212-6 | ||
| 024 | 7 | |a 10.1007/978-3-642-11212-6 |2 doi | |
| 050 | 4 | |a QA299.6-433 | |
| 072 | 7 | |a PBK |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBK |2 thema | |
| 082 | 0 | 4 | |a 515 |2 23 |
| 100 | 1 | |a Queffélec, Martine. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Substitution Dynamical Systems - Spectral Analysis |h [electronic resource] / |c by Martine Queffélec. |
| 250 | |a 2nd ed. 2010. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2010. | |
| 300 | |a XV, 351 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1294 | |
| 505 | 0 | |a The 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 | |a This 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 | |a Mathematical analysis. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a Fourier analysis. | |
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Measure theory. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 1 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Fourier Analysis. |
| 650 | 2 | 4 | |a Number Theory. |
| 650 | 2 | 4 | |a Measure and Integration. |
| 650 | 2 | 4 | |a Operator Theory. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642112553 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642112119 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1294 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-11212-6 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||