Sequences, Groups, and Number Theory

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

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

Autorentext
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.

Zusammenfassung
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

Inhalt
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.