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Combinatorics, words and symbolic dynamics /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Combinatorics, words and symbolic dynamics // edited by Valérie Berthé, Michel Rigo.
remainder title:	Combinatorics, Words & Symbolic Dynamics
other author:	Berthé, V.
Description:	1 online resource (xviii, 475 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Jan 2016).
Subject:	Combinatorial analysis. -
Online resource:	https://doi.org/10.1017/CBO9781139924733
ISBN:	9781139924733 (ebook)

Combinatorics, words and symbolic dynamics /
Combinatorics, words and symbolic dynamics /Combinatorics, Words & Symbolic Dynamicsedited by Valérie Berthé, Michel Rigo. - 1 online resource (xviii, 475 pages) :digital, PDF file(s). - Encyclopedia of mathematics and its applications ;volume 159. - Encyclopedia of mathematics and its applications ;v. 82..

Title from publisher's bibliographic system (viewed on 05 Jan 2016).

Machine generated contents note: List of contributors; Preface; Acknowledgments; 1. Preliminaries V. Berthe; and M. Rigo; 2. Expansions in non-integer bases M. de Vries and V. Komornik; 3. Medieties, end-first algorithms, and the case of Rosen continued fractions B. Rittaud; 4. Repetitions in words N. Rampersad and J. Shallit; 5. Text redundancies G. Badkobeh, M. Crochemore, C. S. Iliopoulos and M. Kubica; 6. Similarity relations on words V. Halava, T. Harju and T. Ka;rki; 7. Synchronised automata M.-P. Be;al and D. Perrin; 8. Cellular automata, tilings and (un)computability J. Kari; 9. Multidimensional shifts of finite type and sofic shifts M. Hochman; 10. Linearly recursive sequences and Dynkin diagrams C. Reutenauer; 11. Pseudo-randomness of a random Kronecker sequence. An instance of dynamical analysis E. Cesaratto and B. Valle;e; Notation index; General index.

Internationally recognised researchers look at developing trends in combinatorics with applications in the study of words and in symbolic dynamics. They explain the important concepts, providing a clear exposition of some recent results, and emphasise the emerging connections between these different fields. Topics include combinatorics on words, pattern avoidance, graph theory, tilings and theory of computation, multidimensional subshifts, discrete dynamical systems, ergodic theory, numeration systems, dynamical arithmetics, automata theory and synchronised words, analytic combinatorics, continued fractions and probabilistic models. Each topic is presented in a way that links it to the main themes, but then they are also extended to repetitions in words, similarity relations, cellular automata, friezes and Dynkin diagrams. The book will appeal to graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, tilings and stringology. It will also interest biologists using text algorithms.

ISBN: 9781139924733 (ebook)Subjects--Topical Terms:

527896
Combinatorial analysis.

LC Class. No.: QA164 / .C666 2016

Dewey Class. No.: 511/.6

Combinatorics, words and symbolic dynamics /
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245 0 0 $a Combinatorics, words and symbolic dynamics / $c edited by Valérie Berthé, Michel Rigo.
246 3 $a Combinatorics, Words & Symbolic Dynamics
264 1 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a 1 online resource (xviii, 475 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
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490 1 $a Encyclopedia of mathematics and its applications ; $v volume 159
500 $a Title from publisher's bibliographic system (viewed on 05 Jan 2016).
505 8 $a Machine generated contents note: List of contributors; Preface; Acknowledgments; 1. Preliminaries V. Berthe; and M. Rigo; 2. Expansions in non-integer bases M. de Vries and V. Komornik; 3. Medieties, end-first algorithms, and the case of Rosen continued fractions B. Rittaud; 4. Repetitions in words N. Rampersad and J. Shallit; 5. Text redundancies G. Badkobeh, M. Crochemore, C. S. Iliopoulos and M. Kubica; 6. Similarity relations on words V. Halava, T. Harju and T. Ka;rki; 7. Synchronised automata M.-P. Be;al and D. Perrin; 8. Cellular automata, tilings and (un)computability J. Kari; 9. Multidimensional shifts of finite type and sofic shifts M. Hochman; 10. Linearly recursive sequences and Dynkin diagrams C. Reutenauer; 11. Pseudo-randomness of a random Kronecker sequence. An instance of dynamical analysis E. Cesaratto and B. Valle;e; Notation index; General index.
520 $a Internationally recognised researchers look at developing trends in combinatorics with applications in the study of words and in symbolic dynamics. They explain the important concepts, providing a clear exposition of some recent results, and emphasise the emerging connections between these different fields. Topics include combinatorics on words, pattern avoidance, graph theory, tilings and theory of computation, multidimensional subshifts, discrete dynamical systems, ergodic theory, numeration systems, dynamical arithmetics, automata theory and synchronised words, analytic combinatorics, continued fractions and probabilistic models. Each topic is presented in a way that links it to the main themes, but then they are also extended to repetitions in words, similarity relations, cellular automata, friezes and Dynkin diagrams. The book will appeal to graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, tilings and stringology. It will also interest biologists using text algorithms.
650 0 $a Combinatorial analysis. $3 527896
650 0 $a Symbolic dynamics. $3 1340139
650 0 $a Computer science. $3 573171
700 1 $a Berthé, V. $q (Valérie), $d 1957- $e editor. $3 1446510
700 1 $a Rigo, Michel, $e editor. $3 1446511
776 0 8 $i Print version: $z 9781107077027
830 0 $a Encyclopedia of mathematics and its applications ; $v v. 82. $3 833009
856 4 0 $u https://doi.org/10.1017/CBO9781139924733