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.
| ISBN: | 9780521515979 |
| Publication date: | 12th August 2010 |
| Author: | Valérie Université de Paris VII Berthé |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 636 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Combinatorics and graph theory |
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.
Combinatorics, Automata and Number Theory features in the following genres: Combinatorics and graph theory
Combinatorics, Automata and Number Theory is available in Hardback
Combinatorics, Automata and Number Theory was written by Valérie Université de Paris VII Berthé and published by Cambridge University Press
Combinatorics, Automata and Number Theory has 636 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series
£155.70