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010   $a3-11-020301-4
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100   $a20090105d2009      uy             0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aApplied algebraic dynamics$b[electronic resource] /$fby Vladimir Anashin and Andrei Khrennikov
210   $aBerlin ;$aNew York $cWalter De Gruyter$dc2009
215   $a1 online resource (557 p.)
225 1 $aDe Gruyter expositions in mathematics,$x0938-6572 ;$v49
300   $aDescription based upon print version of record.
311   $a3-11-020300-6 
327   $t Frontmatter -- $tContents -- $tChapter 1. Algebraic and number-theoretic background -- $tI. The Commutative Non-Archimedean Dynamics -- $tChapter 2. Dynamics on algebraic structures -- $tChapter 3. p-adic analysis -- $tChapter 4. p-adic ergodic theory -- $tChapter 5. Asymptotic distribution of cycles -- $tII. The Non-Commutative Non-Archimedean Dynamics -- $tChapter 6. Basics of polynomial dynamics on groups -- $tChapter 7. Ergodic polynomials over groups with operators -- $tIII. Applications -- $tChapter 8. Automata, computers, combinatorics -- $tChapter 9. Pseudorandom numbers -- $tChapter 10. Stream ciphers -- $tChapter 11. Structure of trajectories -- $tChapter 12. p-adic probability theory -- $tChapter 13. p-adic valued quantization -- $tChapter 14. m-adic modeling in cognitive science and psychology -- $tChapter 15. Neuronal hierarchy behind the ultrametric mental space -- $tChapter 16. Gene expression from dynamics in the 2-adic space -- $tChapter 17. Genetic code on the diadic plane -- $t Backmatter
330   $aThis monograph presents recent developments of the theory of algebraic dynamical systems and their applications to computer sciences, cryptography, cognitive sciences, psychology, image analysis, and numerical simulations. The most important mathematical results presented in this book are in the fields of ergodicity, p-adic numbers, and noncommutative groups. For students and researchers working on the theory of dynamical systems, algebra, number theory, measure theory, computer sciences, cryptography, and image analysis.
410  0$aDe Gruyter expositions in mathematics ;$v49.
606   $aArithmetical algebraic geometry
606   $aDifferentiable dynamical systems
610   $aAlgebraic Dynamical Systems.
610   $aAutomata.
610   $aComputer Sciences.
610   $aCryptography.
610   $aErgodicity.
610   $aGenetics.
610   $aLatin Squares.
610   $aMeasure-Preserving Transformations.
610   $aProfinite Groups.
610   $aPseudorandom Generators.
610   $aPsychology.
610   $aQuantum Theory.
610   $aStream Ciphers.
610   $ap-adic Numbers.
610   $ap-adic Probability.
615  0$aArithmetical algebraic geometry.
615  0$aDifferentiable dynamical systems.
676   $a512
686   $aSK 810$2rvk
700   $aAnashin$b Vladimir$01477313
701   $aKhrennikov$b A. I?U$g(Andrei? I?Ur?evich),$f1958-$01477314
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910778600903321
996   $aApplied algebraic dynamics$93692438
997   $aUNINA