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Combinatorics, words and symbolic dy...

Berthe, V.

Combinatorics, words and symbolic dynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Combinatorics, words and symbolic dynamicsedited by Valerie Berthe, Michel Rigo.
remainder title:	Combinatorics, Words & Symbolic Dynamics
other author:	Berthe, V.
Published:	Cambridge :Cambridge University Press,2016.
Description:	xviii, 475 p. :ill., digital ;24 cm.
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$q(electronic bk.)

Combinatorics, words and symbolic dynamics
Combinatorics, words and symbolic dynamics[electronic resource] /Combinatorics, Words & Symbolic Dynamicsedited by Valerie Berthe, Michel Rigo. - Cambridge :Cambridge University Press,2016. - xviii, 475 p. :ill., digital ;24 cm. - Encyclopedia of mathematics and its applications ;v.159. - Encyclopedia of mathematics and its applications ;v. 124-125..

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. Karki; 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. Vallee; 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$q(electronic bk.)Subjects--Topical Terms:

182280
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 $h [electronic resource] / $c edited by Valerie Berthe, Michel Rigo.
246 3 $a Combinatorics, Words & Symbolic Dynamics
260 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a xviii, 475 p. : $b ill., digital ; $c 24 cm.
490 1 $a Encyclopedia of mathematics and its applications ; $v v.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. Karki; 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. Vallee; 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 182280
650 0 $a Symbolic dynamics. $3 468098
650 0 $a Computer science. $3 199325
700 1 $a Berthe, V. $3 898719
700 1 $a Rigo, Michel. $3 669048
830 0 $a Encyclopedia of mathematics and its applications ; $v v. 124-125. $3 403662
856 4 0 $u https://doi.org/10.1017/CBO9781139924733