Applied algebraic dynamics / by Vladimir Anashin and Andrei Khrennikov.
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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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Walter De Gruyter,
©2009.
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| Series: | De Gruyter expositions in mathematics ;
49. |
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Table of Contents:
- 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.