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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Anashin, Vladimir
Otros Autores: Khrennikov, A. I͡U. (Andreĭ I͡Urʹevich), 1958-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; New York : Walter De Gruyter, ©2009.
Colección:De Gruyter expositions in mathematics ; 49.
Temas:
Arithmetical algebraic geometry.
Differentiable dynamical systems.
Géométrie algébrique arithmétique.
Dynamique différentiable.
MATHEMATICS / Algebra / Abstract.
Arithmetical algebraic geometry
Differentiable dynamical systems
Algebraische Struktur
Dynamisches System
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Algebraic and number-theoretic background
  • The commutative non-Archimedean dynamics
  • Dynamics on algebraic structures
  • p-adic analysis
  • p-adic ergodic theory
  • Asymptotic distribution of cycles
  • The non-commutative non-Archimedean dynamics
  • Basics of polynomial dynamics on groups
  • Ergodic polynomials over groups with operators
  • Applications
  • Automata, computers, combinatorics
  • Pseudorandom numbers
  • Stream ciphers
  • Structure of trajectories
  • p-adic probability theory
  • p-adic valued quantization
  • m-adic modeling in cognitive science and psychology
  • Neuronal hierarchy behind the ultrametric mental space
  • Gene expression from dynamics in the 2-adic space
  • Genetic code on the diadic plane.

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