Hardcover. 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. Surveys trends arising from the applications and interactions between combinatorics, symbolic dynamics and theoretical computer science. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Detalles bibliogr�ficos

T�tulo: Combinatorics, Words and Symbolic Dynamics (Hardcover)
Editor: Cambridge University Press, Cambridge
Fecha de publicaci�n: 2015
Idioma: Ingl�s
ISBN 10: 1107077028
ISBN 13: 9781107077027
Encuadernaci�n: Hardcover
Estado: new

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Sinopsis

Surveys trends arising from the applications and interactions between combinatorics, symbolic dynamics and theoretical computer science.

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Val�rie Berth� is a CNRS Research Director at LIAFA (Laboratoire d'Informatique Algorithmique: Fondements et Applications) at the Universit� Paris Diderot, Paris 7. She is Deputy Director of the Fondation Sciences Math�matiques 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 Universit� de Li�ge, 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.

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