Sequences, Groups, and Number Theory. 1st ed. 2018

種類:

電子ブック

責任表示:

edited by Valérie Berthé, Michel Rigo

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2018

著者名:

• Berthé, Valérie.
• Rigo, Michel.
• SpringerLink (Online service)

シリーズ名:

Trends in Mathematics ;

ISBN:

9783319691527 [331969152X]    

注記:

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.
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.

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