Sequences, Groups, and Number Theory
1st Edition
Published on 9. April 2018
XXVI, 578 pages
978-3-319-69152-7 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XXVI, 578 p. 87 illus., 15 illus. in color.
File size
18,00 MB
ISBN-13
978-3-319-69152-7 (9783319691527)
DOI
10.1007/978-3-319-69152-7
Schweitzer Classification
Other editions
Additional editions
Valérie Berthé | Michel Rigo
Sequences, Groups, and Number Theory
Book
04/2018
Birkhäuser
€192.59
Shipment within 10-15 days
Persons
Valérie Berthé is a researcher at the Institut de Recherche en Informatique Fondamentale, which is a joint project between the Centre National del Recherche Scientifique and the University Paris-Diderot.
Michel Rigo is a professor in the Unité de Mathématiques Discrétes at the Université de Liége.
Michel Rigo is a professor in the Unité de Mathématiques Discrétes at the Université de Liége.
Content
General Framework.- Number Theoretic Aspects of Regular Sequences.- First-order Logic and Numeration System.- Some Applications of Algebra to Automatic Sequences.- Avoiding or Limiting Regularities in Words.- Coloring Problems for Infinite Words.- Normal Numbers and Computer Science.- Normal Numbers and Symbolic Dynamics.- About the Domino Problem for Subshifts on Groups.- Automation (Semi)Groups: Wang Tilings and Schreier Tries.- Amenability of Groups and G-Sets.- Index.- References.
