Automatic Sequences
eBook - PDF

Automatic Sequences

  1. 191 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Automatic Sequences

About this book

Automatic sequences are sequences which are produced by a finite automaton. Although they are not random they may look as being random. They are complicated, in the sense of not being not ultimately periodic, they may look rather complicated, in the sense that it may not be easy to name the rule by which the sequence is generated, however there exists a rule which generates the sequence. The concept automatic sequences has special applications in algebra, number theory, finite automata and formal languages, combinatorics on words.

The text deals with different aspects of automatic sequences, in particular:
· a general introduction to automatic sequences
· the basic (combinatorial) properties of automatic sequences
· the algebraic approach to automatic sequences
· geometric objects related to automatic sequences.

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Yes, you can access Automatic Sequences by von Friedrich Haeseler in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2008
Print ISBN
9783110156294
eBook ISBN
9783110197969
Edition
1
Subtopic
Algebra

Table of contents

  1. Introduction
  2. 1 Preliminaries
  3. 1.1 Sequence spaces over groups
  4. 1.2 The Heisenberg group
  5. 1.3 Notes and comments
  6. 2 Expanding endomorphisms and substitutions
  7. 2.1 Expanding endomorphisms
  8. 2.2 Substitutions
  9. 2.3 Notes and comments
  10. 3 Automaticity
  11. 3.1 Automatic sequences
  12. 3.2 Elementary properties of automatic sequences
  13. 3.3 Notes and comments
  14. 4 Automaticity II
  15. 4.1 Automatic subsets
  16. 4.2 Automatic maps
  17. 4.3 Automata and automatic maps
  18. 4.4 Automatic functions on ℕ
  19. 4.5 Cellular automata and automatic maps
  20. 4.6 Notes and comments
  21. 5 Algebraic properties
  22. 5.1 Additional structure on A̅
  23. 5.2 Solutions of Mahler equations
  24. 5.3 Γ abelian
  25. 5.4 Notes and comments
  26. Bibliography
  27. Index