About this book
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups.
This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.
Combinatorics Word combinatorics Normal numbers Automata Group of automata Discrete dynamical systems normal numbers amenable groups number theory numeration systems automatic sequences symbolic dynamics tilings
Editors and affiliations
- DOI https://doi.org/10.1007/978-3-319-69152-7
- Copyright Information Springer International Publishing AG, part of Springer Nature 2018
- Publisher Name Birkhäuser, Cham
- eBook Packages Mathematics and Statistics
- Print ISBN 978-3-319-69151-0
- Online ISBN 978-3-319-69152-7
- Series Print ISSN 2297-0215
- Series Online ISSN 2297-024X
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