Combinatorics, Words and Symbolic Dynamics

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Valérie Berthé (Université de Paris VII (Denis Diderot)) Michel Rigo (Université de Liège, Belgium)

Combinatorics, Words and Symbolic Dynamics

Valérie Berthé (Université de Paris VII (Denis Diderot)), Michel Rigo (Université de Liège, Belgium)

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English

Cambridge University Press
10 March 2016

Discrete mathematics; Complex analysis, complex variables; Combinatorics & graph theory; Computer science

Series: Encyclopedia of Mathematics and its Applications

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.

Edited by: Valérie Berthé (Université de Paris VII (Denis Diderot)), Michel Rigo (Université de Liège, Belgium)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 159
Dimensions: Height: 242mm, Width: 163mm, Spine: 37mm
Weight: 940g
ISBN: 9781107077027
ISBN 10: 1107077028
Series: Encyclopedia of Mathematics and its Applications
Pages: 496
Publication Date: 10 March 2016
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Valérie Berthé is a CNRS Research Director at LIAFA (Laboratoire d'Informatique Algorithmique: Fondements et Applications) at the Université Paris Diderot, Paris 7. She is Deputy Director of the Fondation Sciences Mathématiques de Paris and has authored 70 journal or conference papers. Her main research interests are tilings, numeration systems, substitutive dynamicals systems and symbolic dynamics. Michel Rigo is a full professor in the Department of Mathematics at the Université de Liège, Belgium, and head of the research group in discrete mathematics. He has authored more than 50 journal or conference papers and two books. His main research interests are formal language theory, numeration systems and combinatorics on words.