Applied Algebraic Dynamics /

Applied Algebraic Dynamics / / Vladimir Anashin, Andrei Khrennikov.

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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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Superior document:Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
VerfasserIn:
Anashin, Vladimir,
Khrennikov, Andrei,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2009]
©2009
Year of Publication:2009
Language:English
Series:De Gruyter Expositions in Mathematics , 49
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Physical Description:1 online resource (533 p.)
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id 9783110203011
ctrlnum (DE-B1597)33377
(OCoLC)646812053
collection bib_alma
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spelling Anashin, Vladimir, author. aut http://id.loc.gov/vocabulary/relators/aut
Applied Algebraic Dynamics / Vladimir Anashin, Andrei Khrennikov.
Berlin ; Boston : De Gruyter, [2009]
©2009
1 online resource (533 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Expositions in Mathematics , 0938-6572 ; 49
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
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
Algebra.
Kryptologie.
Zahlentheorie.
MATHEMATICS / Algebra / Abstract. bisacsh
Algebraic Dynamical Systems.
Automata.
Computer Sciences.
Cryptography.
Ergodicity.
Genetics.
Latin Squares.
Measure-Preserving Transformations.
Profinite Groups.
Pseudorandom Generators.
Psychology.
Quantum Theory.
Stream Ciphers.
p-adic Numbers.
p-adic Probability.
Khrennikov, Andrei, author. aut http://id.loc.gov/vocabulary/relators/aut
Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package 9783110494969 ZDB-23-EXM
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA
Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2009 9783110219517 ZDB-23-DGG
Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2009 9783110219524
Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2009 9783110219463 ZDB-23-DMN
print 9783110203004
https://doi.org/10.1515/9783110203011
https://www.degruyter.com/isbn/9783110203011
Cover https://www.degruyter.com/document/cover/isbn/9783110203011/original
language English
format eBook
author Anashin, Vladimir,
Anashin, Vladimir,
Khrennikov, Andrei,
spellingShingle Anashin, Vladimir,
Anashin, Vladimir,
Khrennikov, Andrei,
Applied Algebraic Dynamics /
De Gruyter Expositions in Mathematics ,
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
author_facet Anashin, Vladimir,
Anashin, Vladimir,
Khrennikov, Andrei,
Khrennikov, Andrei,
Khrennikov, Andrei,
author_variant v a va
v a va
a k ak
author_role VerfasserIn
VerfasserIn
VerfasserIn
author2 Khrennikov, Andrei,
Khrennikov, Andrei,
author2_variant a k ak
author2_role VerfasserIn
VerfasserIn
author_sort Anashin, Vladimir,
title Applied Algebraic Dynamics /
title_full Applied Algebraic Dynamics / Vladimir Anashin, Andrei Khrennikov.
title_fullStr Applied Algebraic Dynamics / Vladimir Anashin, Andrei Khrennikov.
title_full_unstemmed Applied Algebraic Dynamics / Vladimir Anashin, Andrei Khrennikov.
title_auth Applied Algebraic Dynamics /
title_alt 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
title_new Applied Algebraic Dynamics /
title_sort applied algebraic dynamics /
series De Gruyter Expositions in Mathematics ,
series2 De Gruyter Expositions in Mathematics ,
publisher De Gruyter,
publishDate 2009
physical 1 online resource (533 p.)
Issued also in print.
contents 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
isbn 9783110203011
9783110494969
9783110238570
9783110238471
9783110637205
9783110219517
9783110219524
9783110219463
9783110203004
issn 0938-6572 ;
url https://doi.org/10.1515/9783110203011
https://www.degruyter.com/isbn/9783110203011
https://www.degruyter.com/document/cover/isbn/9783110203011/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 512 - Algebra
dewey-full 512
dewey-sort 3512
dewey-raw 512
dewey-search 512
doi_str_mv 10.1515/9783110203011
oclc_num 646812053
work_keys_str_mv AT anashinvladimir appliedalgebraicdynamics
AT khrennikovandrei appliedalgebraicdynamics
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ids_txt_mv (DE-B1597)33377
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carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN)
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014
Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2009
Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2009
Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2009
is_hierarchy_title Applied Algebraic Dynamics /
container_title Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
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