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Sequences, Groups, and Number Theory

  • Fester Einband
  • 578 Seiten
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This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, ... Weiterlesen
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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.

Discusses new research areas and results for sequences and number theory
Analyzes the relationship of sequence and group theory to theory of computation and applications of computer science
Describes combinatorics on words with a variety of theoretical approaches

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.

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.


Titel: Sequences, Groups, and Number Theory
EAN: 9783319691510
ISBN: 978-3-319-69151-0
Format: Fester Einband
Herausgeber: Springer, Berlin
Genre: Mathematik
Anzahl Seiten: 578
Gewicht: 1060g
Größe: H48mm x B242mm x T158mm
Jahr: 2018
Auflage: 1st ed. 2018

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