Sequences, Groups, and Number Theory

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.

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• Teoria combinatória e dos grafos
• A matemática discreta
• Grupos e teoria do grupo
• Teoria dos números
• Matemática para cientistas da computação

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