Combinatorics, automata, and number theory:
This collaborative volume presents trends arising from the fruitful interaction between the themes of combinatorics on words, automata and formal language theory, and number theory. Presenting several important tools and concepts, the authors also reveal some of the exciting and important relationsh...
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| Other Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2010
|
| Series: | Encyclopedia of mathematics and its applications
volume 135 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | This collaborative volume presents trends arising from the fruitful interaction between the themes of combinatorics on words, automata and formal language theory, and number theory. Presenting several important tools and concepts, the authors also reveal some of the exciting and important relationships that exist between these different fields. Topics include numeration systems, word complexity function, morphic words, Rauzy tilings and substitutive dynamical systems, Bratelli diagrams, frequencies and ergodicity, Diophantine approximation and transcendence, asymptotic properties of digital functions, decidability issues for D0L systems, matrix products and joint spectral radius. Topics are presented in a way that links them to the three main themes, but also extends them to dynamical systems and ergodic theory, fractals, tilings and spectral properties of matrices. Graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, fractals, tilings and stringology will find much of interest in this book |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xix, 615 pages) |
| ISBN: | 9780511777653 |
| DOI: | 10.1017/CBO9780511777653 |
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| 505 | 8 | |a Preliminaries / V. Berthé, M. Rigo -- Number representation and finite automata / Ch. Frougny, J. Sakarovitch -- Abstract numeration systems / P. Lecomte, M. Rigo -- Factor complexity / J. Cassaigne, F. Nicolas -- Substitutions, Rauzy fractals and tilings / V. Berthé, A. Siegel, J. Thuswaldner -- Combinatorics on Bratteli diagrams and dynamical systems / F. Durand -- Infinite words with uniform frequencies, and invariant measures / S. Ferenczi, T. Monteil -- Transcendence and Diophantine approximation / B. Adamczewski, Y. Bugeaud -- Analysis of digital functions and applications / M. Drmota, P.J. Grabner -- The equality problem for purely substitutive words / J. Honkala -- Long products of matrices / V.D. Blondel, R.M. Jungers | |
| 520 | |a This collaborative volume presents trends arising from the fruitful interaction between the themes of combinatorics on words, automata and formal language theory, and number theory. Presenting several important tools and concepts, the authors also reveal some of the exciting and important relationships that exist between these different fields. Topics include numeration systems, word complexity function, morphic words, Rauzy tilings and substitutive dynamical systems, Bratelli diagrams, frequencies and ergodicity, Diophantine approximation and transcendence, asymptotic properties of digital functions, decidability issues for D0L systems, matrix products and joint spectral radius. Topics are presented in a way that links them to the three main themes, but also extends them to dynamical systems and ergodic theory, fractals, tilings and spectral properties of matrices. Graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, fractals, tilings and stringology will find much of interest in this book | ||
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| contents | Preliminaries / V. Berthé, M. Rigo -- Number representation and finite automata / Ch. Frougny, J. Sakarovitch -- Abstract numeration systems / P. Lecomte, M. Rigo -- Factor complexity / J. Cassaigne, F. Nicolas -- Substitutions, Rauzy fractals and tilings / V. Berthé, A. Siegel, J. Thuswaldner -- Combinatorics on Bratteli diagrams and dynamical systems / F. Durand -- Infinite words with uniform frequencies, and invariant measures / S. Ferenczi, T. Monteil -- Transcendence and Diophantine approximation / B. Adamczewski, Y. Bugeaud -- Analysis of digital functions and applications / M. Drmota, P.J. Grabner -- The equality problem for purely substitutive words / J. Honkala -- Long products of matrices / V.D. Blondel, R.M. Jungers |
| ctrlnum | (ZDB-20-CBO)CR9780511777653 (OCoLC)967775314 (DE-599)BVBBV043941518 |
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| discipline | Informatik Mathematik |
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| spelling | Combinatorics, automata, and number theory edited by Valérie Berthé, Michel Rigo Combinatorics, Automata & Number Theory Cambridge Cambridge University Press 2010 1 online resource (xix, 615 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 135 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Preliminaries / V. Berthé, M. Rigo -- Number representation and finite automata / Ch. Frougny, J. Sakarovitch -- Abstract numeration systems / P. Lecomte, M. Rigo -- Factor complexity / J. Cassaigne, F. Nicolas -- Substitutions, Rauzy fractals and tilings / V. Berthé, A. Siegel, J. Thuswaldner -- Combinatorics on Bratteli diagrams and dynamical systems / F. Durand -- Infinite words with uniform frequencies, and invariant measures / S. Ferenczi, T. Monteil -- Transcendence and Diophantine approximation / B. Adamczewski, Y. Bugeaud -- Analysis of digital functions and applications / M. Drmota, P.J. Grabner -- The equality problem for purely substitutive words / J. Honkala -- Long products of matrices / V.D. Blondel, R.M. Jungers This collaborative volume presents trends arising from the fruitful interaction between the themes of combinatorics on words, automata and formal language theory, and number theory. Presenting several important tools and concepts, the authors also reveal some of the exciting and important relationships that exist between these different fields. Topics include numeration systems, word complexity function, morphic words, Rauzy tilings and substitutive dynamical systems, Bratelli diagrams, frequencies and ergodicity, Diophantine approximation and transcendence, asymptotic properties of digital functions, decidability issues for D0L systems, matrix products and joint spectral radius. Topics are presented in a way that links them to the three main themes, but also extends them to dynamical systems and ergodic theory, fractals, tilings and spectral properties of matrices. Graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, fractals, tilings and stringology will find much of interest in this book Combinatorial analysis Number theory Machine theory Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Formale Sprache (DE-588)4017848-1 gnd rswk-swf Automatentheorie (DE-588)4003953-5 gnd rswk-swf Kombinatorik (DE-588)4031824-2 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content Kombinatorik (DE-588)4031824-2 s Zahlentheorie (DE-588)4067277-3 s Automatentheorie (DE-588)4003953-5 s Formale Sprache (DE-588)4017848-1 s 2\p DE-604 Berthé, V. 1957- edt Rigo, Michel edt Erscheint auch als Druckausgabe 978-0-521-51597-9 https://doi.org/10.1017/CBO9780511777653 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Combinatorics, automata, and number theory Preliminaries / V. Berthé, M. Rigo -- Number representation and finite automata / Ch. Frougny, J. Sakarovitch -- Abstract numeration systems / P. Lecomte, M. Rigo -- Factor complexity / J. Cassaigne, F. Nicolas -- Substitutions, Rauzy fractals and tilings / V. Berthé, A. Siegel, J. Thuswaldner -- Combinatorics on Bratteli diagrams and dynamical systems / F. Durand -- Infinite words with uniform frequencies, and invariant measures / S. Ferenczi, T. Monteil -- Transcendence and Diophantine approximation / B. Adamczewski, Y. Bugeaud -- Analysis of digital functions and applications / M. Drmota, P.J. Grabner -- The equality problem for purely substitutive words / J. Honkala -- Long products of matrices / V.D. Blondel, R.M. Jungers Combinatorial analysis Number theory Machine theory Zahlentheorie (DE-588)4067277-3 gnd Formale Sprache (DE-588)4017848-1 gnd Automatentheorie (DE-588)4003953-5 gnd Kombinatorik (DE-588)4031824-2 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4017848-1 (DE-588)4003953-5 (DE-588)4031824-2 (DE-588)1071861417 |
| title | Combinatorics, automata, and number theory |
| title_alt | Combinatorics, Automata & Number Theory |
| title_auth | Combinatorics, automata, and number theory |
| title_exact_search | Combinatorics, automata, and number theory |
| title_full | Combinatorics, automata, and number theory edited by Valérie Berthé, Michel Rigo |
| title_fullStr | Combinatorics, automata, and number theory edited by Valérie Berthé, Michel Rigo |
| title_full_unstemmed | Combinatorics, automata, and number theory edited by Valérie Berthé, Michel Rigo |
| title_short | Combinatorics, automata, and number theory |
| title_sort | combinatorics automata and number theory |
| topic | Combinatorial analysis Number theory Machine theory Zahlentheorie (DE-588)4067277-3 gnd Formale Sprache (DE-588)4017848-1 gnd Automatentheorie (DE-588)4003953-5 gnd Kombinatorik (DE-588)4031824-2 gnd |
| topic_facet | Combinatorial analysis Number theory Machine theory Zahlentheorie Formale Sprache Automatentheorie Kombinatorik Konferenzschrift |
| url | https://doi.org/10.1017/CBO9780511777653 |
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