Anashin / Khrennikov Applied Algebraic Dynamics

1. Auflage 2009
ISBN: 978-3-11-020301-1
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 49, 557 Seiten, Gewicht: 10 g

Reihe: De Gruyter Expositions in Mathematics

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 fields of ergodicity, p-adic numbers, and noncommutative groups.For students and researchers working on the theory of dynamical systems, algebra, number theory, measure theory, computer sciences, cryptography, and image analysis.

Zielgruppe

Researchers, Graduate Students of Mathematics; University Librari

Autoren/Hrsg.

Anashin, Vladimir

Khrennikov, Andrei

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik EDV | Informatik Technische Informatik Computersicherheit Kryptographie, Datenverschlüsselung

Inhaltsverzeichnis

Frontmatter
Contents
Chapter 1. Algebraic and number-theoretic background
I. The Commutative Non-Archimedean Dynamics Chapter 2. Dynamics on algebraic structures Chapter 3. p-adic analysis Chapter 4. p-adic ergodic theory Chapter 5. Asymptotic distribution of cycles
II. The Non-Commutative Non-Archimedean Dynamics Chapter 6. Basics of polynomial dynamics on groups Chapter 7. Ergodic polynomials over groups with operators
III. Applications 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

Über Autor(innen)

Vladimir Anashin, Russian State University, Moscow, Russia; Andrei Khrennikov, Växjö University, Sweden.