Sequences, Groups, and Number Theory

• Corporate Author: SpringerLink (Online service)
• Other Authors: Berthé, Valérie (Editor, http://id.loc.gov/vocabulary/relators/edt), Rigo, Michel (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Trends in Mathematics,
• Subjects: Combinatorics.; Group theory.; Number theory.; Computer science-Mathematics.; Group Theory and Generalizations.; Number Theory.; Discrete Mathematics in Computer Science.

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 comp...

Table of Contents:

• 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.