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English
Cambridge University Press
12 August 2010
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.

Edited by:   , ,
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   135
Dimensions:   Height: 236mm,  Width: 160mm,  Spine: 43mm
Weight:   1.080kg
ISBN:   9780521515979
ISBN 10:   0521515971
Series:   Encyclopedia of Mathematics and its Applications
Pages:   636
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

Valérie Berthé is 'Directeur de Recherche CNRS' in the Montpellier Laboratory of Informatics, Robotics, and Micro-electronics (LIRMM) at the University of Montpellier 2, France. Michel Rigo is a Professor in the Department of Mathematics at the University of Liège, Belgium.

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