Dimension groups and dynamical systems: substitutions, Bratteli diagrams and cantor systems
This book is the first self-contained exposition of the fascinating link between dynamical systems and dimension groups. The authors explore the rich interplay between topological properties of dynamical systems and the algebraic structures associated with them, with an emphasis on symbolic systems,...
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, VIC, Australia ; New Delhi, India ; Singapore
Cambridge University Press
2022
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
196 |
| Schlagwörter: | |
| Zusammenfassung: | This book is the first self-contained exposition of the fascinating link between dynamical systems and dimension groups. The authors explore the rich interplay between topological properties of dynamical systems and the algebraic structures associated with them, with an emphasis on symbolic systems, particularly substitution systems. It is recommended for anybody with an interest in topological and symbolic dynamics, automata theory or combinatorics on words. Intended to serve as an introduction for graduate students and other newcomers to the field as well as a reference for established researchers, the book includes a thorough account of the background notions as well as detailed exposition - with full proofs - of the major results of the subject. A wealth of examples and exercises, with solutions, serve to build intuition, while the many open problems collected at the end provide jumping-off points for future research |
| Beschreibung: | Topological dynamical systems -- Ordered groups -- Ordered cohomology groups -- Partitions in towers -- Bratteli diagrams -- Substitution shifts and generalizations -- Dendric shifts -- Interval exchange transformations -- Bratteli diagrams and C*-algebras |
| Umfang: | vii, 584 Seiten Diagramme |
| ISBN: | 9781108838689 |
Internformat
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| 245 | 1 | 0 | |a Dimension groups and dynamical systems |b substitutions, Bratteli diagrams and cantor systems |c Fabien Durand, Dominique Perrin |
| 264 | 1 | |a Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, VIC, Australia ; New Delhi, India ; Singapore |b Cambridge University Press |c 2022 | |
| 300 | |a vii, 584 Seiten |b Diagramme | ||
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 196 | |
| 500 | |a Topological dynamical systems -- Ordered groups -- Ordered cohomology groups -- Partitions in towers -- Bratteli diagrams -- Substitution shifts and generalizations -- Dendric shifts -- Interval exchange transformations -- Bratteli diagrams and C*-algebras | ||
| 520 | |a This book is the first self-contained exposition of the fascinating link between dynamical systems and dimension groups. The authors explore the rich interplay between topological properties of dynamical systems and the algebraic structures associated with them, with an emphasis on symbolic systems, particularly substitution systems. It is recommended for anybody with an interest in topological and symbolic dynamics, automata theory or combinatorics on words. Intended to serve as an introduction for graduate students and other newcomers to the field as well as a reference for established researchers, the book includes a thorough account of the background notions as well as detailed exposition - with full proofs - of the major results of the subject. A wealth of examples and exercises, with solutions, serve to build intuition, while the many open problems collected at the end provide jumping-off points for future research | ||
| 650 | 4 | |a Dynamics | |
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Dimension theory (Topology) | |
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Datensatz im Suchindex
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|---|---|
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| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040009550603 |
| _version_ | 1821933949241262080 |
| any_adam_object | |
| author | Durand, Fabien 1969- Perrin, Dominique 1946- |
| author_GND | (DE-588)1021290203 (DE-588)129256250 |
| author_facet | Durand, Fabien 1969- Perrin, Dominique 1946- |
| author_role | aut aut |
| author_sort | Durand, Fabien 1969- |
| author_variant | f d fd d p dp |
| building | Verbundindex |
| bvnumber | BV048823861 |
| classification_rvk | SK 350 |
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| ctrlnum | (OCoLC)1309297941 (DE-599)BVBBV048823861 |
| dewey-full | 515/.39 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.39 |
| dewey-search | 515/.39 |
| dewey-sort | 3515 239 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV048823861 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T19:52:57Z |
| institution | BVB |
| isbn | 9781108838689 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034089548 |
| oclc_num | 1309297941 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-20 |
| owner_facet | DE-91G DE-BY-TUM DE-20 |
| physical | vii, 584 Seiten Diagramme |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spellingShingle | Durand, Fabien 1969- Perrin, Dominique 1946- Dimension groups and dynamical systems substitutions, Bratteli diagrams and cantor systems Cambridge studies in advanced mathematics Dynamics Group theory Dimension theory (Topology) |
| title | Dimension groups and dynamical systems substitutions, Bratteli diagrams and cantor systems |
| title_auth | Dimension groups and dynamical systems substitutions, Bratteli diagrams and cantor systems |
| title_exact_search | Dimension groups and dynamical systems substitutions, Bratteli diagrams and cantor systems |
| title_full | Dimension groups and dynamical systems substitutions, Bratteli diagrams and cantor systems Fabien Durand, Dominique Perrin |
| title_fullStr | Dimension groups and dynamical systems substitutions, Bratteli diagrams and cantor systems Fabien Durand, Dominique Perrin |
| title_full_unstemmed | Dimension groups and dynamical systems substitutions, Bratteli diagrams and cantor systems Fabien Durand, Dominique Perrin |
| title_short | Dimension groups and dynamical systems |
| title_sort | dimension groups and dynamical systems substitutions bratteli diagrams and cantor systems |
| title_sub | substitutions, Bratteli diagrams and cantor systems |
| topic | Dynamics Group theory Dimension theory (Topology) |
| topic_facet | Dynamics Group theory Dimension theory (Topology) |
| volume_link | (DE-604)BV000003678 |
| work_keys_str_mv | AT durandfabien dimensiongroupsanddynamicalsystemssubstitutionsbrattelidiagramsandcantorsystems AT perrindominique dimensiongroupsanddynamicalsystemssubstitutionsbrattelidiagramsandcantorsystems |
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 552 2023 A 1515
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |