Applied Algebraic Dynamics

This monograph presents recent developments of the theory of algebraic dynamical systems and their applications to computer sciences, cryptography, cognitive sciences, psychology, image analysis, and numerical simulations. The most important mathematical results presented in this book are in the fie...

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Bibliographic Details
Main Authors: Anashin, Vladimir, Khrennikov, Andrei
Format: eBook Book
Language:English
Published: Germany De Gruyter 2009
Walter de Gruyter
Walter de Gruyter GmbH
Edition:1
Series:De Gruyter Expositions in Mathematics
Subjects:
Algebra
Algebra & number theory
Algebraic Dynamical Systems
Algebraische Struktur swd
Arithmetical algebraic geometry
Automata
Computer Sciences
Cryptography
Differentiable dynamical systems
Dynamisches System swd
Ergodicity
Genetics
Kryptologie
Latin Squares
MATEMATIK
MATHEMATICS
MATHEMATICS / Algebra / Abstract
MATHEMATICS / Algebra / General
MATHEMATICS / Applied
MATHEMATICS / General
MATHEMATICS / Mathematical Analysis
Measure-Preserving Transformations
p-adic Numbers
p-adic Probability
Profinite Groups
Pseudorandom Generators
Psychology
Quantum Theory
Stream Ciphers
Zahlentheorie
Latin Squares
Pseudorandom Generators
Psychology
p-adic Numbers
Ergodicity
Stream Ciphers
Zahlentheorie
p-adic Probability
Quantum Theory
Algebra
Kryptologie
Computer Sciences
Profinite Groups
Automata
Measure-Preserving Transformations
Genetics
Algebraic Dynamical Systems
Cryptography
ISBN:3110203014, 9783110203011, 3110203006, 9783110203004
Online Access:Get full text
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Table of Contents:
  • Frontmatter -- Contents -- Chapter 1. Algebraic and number-theoretic background -- Chapter 2. Dynamics on algebraic structures -- Chapter 3. p-adic analysis -- Chapter 4. p-adic ergodic theory -- Chapter 5. Asymptotic distribution of cycles -- Chapter 6. Basics of polynomial dynamics on groups -- Chapter 7. Ergodic polynomials over groups with operators -- Chapter 8. Automata, computers, combinatorics -- Chapter 9. Pseudorandom numbers -- Chapter 10. Stream ciphers -- Chapter 11. Structure of trajectories -- Chapter 12. p-adic probability theory -- Chapter 13. p-adic valued quantization -- Chapter 14. m-adic modeling in cognitive science and psychology -- Chapter 15. Neuronal hierarchy behind the ultrametric mental space -- Chapter 16. Gene expression from dynamics in the 2-adic space -- Chapter 17. Genetic code on the diadic plane -- Backmatter
  • Chapter 11. Structure of trajectories --
  • Chapter 14. m-adic modeling in cognitive science and psychology --
  • Contents --
  • Chapter 8. Automata, computers, combinatorics --
  • Chapter 6. Basics of polynomial dynamics on groups --
  • Chapter 3. p-adic analysis --
  • Chapter 2. Dynamics on algebraic structures --
  • Chapter 12. p-adic probability theory --
  • Chapter 10. Stream ciphers --
  • Chapter 4. p-adic ergodic theory --
  • Chapter 13. p-adic valued quantization --
  • Backmatter
  • Chapter 9. Pseudorandom numbers --
  • Chapter 16. Gene expression from dynamics in the 2-adic space --
  • Chapter 1. Algebraic and number-theoretic background --
  • Chapter 17. Genetic code on the diadic plane --
  • Chapter 5. Asymptotic distribution of cycles --
  • Frontmatter --
  • I. The Commutative Non-Archimedean Dynamics --
  • Chapter 7. Ergodic polynomials over groups with operators --
  • III. Applications --
  • II. The Non-Commutative Non-Archimedean Dynamics --
  • Chapter 15. Neuronal hierarchy behind the ultrametric mental space --