UID:
almahu_9949462249002882
Format:
1 online resource (533 p.)
ISBN:
9783110203011
,
9783110494969
Series Statement:
De Gruyter Expositions in Mathematics , 49
Content:
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.
Note:
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 --
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Chapter 7. Ergodic polynomials over groups with operators --
,
III. Applications --
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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
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Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Expositions in Mathematics Backlist eBook Package, De Gruyter, 9783110494969
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2009, De Gruyter, 9783110219517
In:
E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2009, De Gruyter, 9783110219524
In:
E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2009, De Gruyter, 9783110219463
Additional Edition:
ISBN 9783110203004
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110203011
URL:
https://doi.org/10.1515/9783110203011
URL:
https://www.degruyter.com/isbn/9783110203011
