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010   $a3-319-22837-4
024 7 $a10.1007/978-3-319-22837-2
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035   $a(DE-He213)978-3-319-22837-2
035   $a(MiAaPQ)EBC6283811
035   $a(MiAaPQ)EBC5591976
035   $a(Au-PeEL)EBL5591976
035   $a(OCoLC)925435263
035   $a(PPN)188953558
035   $a(EXLCZ)994210000000000433
100   $a20151012d2015      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aQuantum Quadratic Operators and Processes$b[electronic resource] /$fby Farrukh Mukhamedov, Nasir Ganikhodjaev
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (XIV, 231 p. 1 illus.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2133
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-22836-6 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- Quadratic Stochastic Operators -- Quadratic Processes -- Analytic methods in the theory of quadratic stochastic processes -- Quantum quadratic operators -- Quantum quadratic operators on M2(C) -- Infinite-dimensional quadratic operators -- Quantum quadratic stochastic processes.
330   $aCovering both classical and quantum approaches, this unique and self-contained book presents the most recent developments in the theory of quadratic stochastic operators and their Markov and related processes. The asymptotic behavior of dynamical systems generated by classical and quantum quadratic operators is investigated and various properties of quantum quadratic operators are studied, providing an insight into the construction of quantum channels. This book is suitable as a textbook for an advanced undergraduate/graduate level course or summer school in quantum dynamical systems. It can also be used as a reference book by researchers looking for interesting  problems to work on, or useful techniques and discussions of particular problems. Since it includes the latest developments in the fields of quadratic dynamical systems, Markov processes and quantum stochastic processes, researchers at all levels are likely to find the book inspiring and useful.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2133
606   $aDynamics
606   $aErgodic theory
606   $aFunctional analysis
606   $aOperator theory
606   $aProbabilities
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aFunctional analysis.
615  0$aOperator theory.
615  0$aProbabilities.
615 14$aDynamical Systems and Ergodic Theory.
615 24$aFunctional Analysis.
615 24$aOperator Theory.
615 24$aProbability Theory and Stochastic Processes.
676   $a515.352
700   $aMukhamedov$b Farrukh$4aut$4http://id.loc.gov/vocabulary/relators/aut$0718156
702   $aGanikhodjaev$b Nasir$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466646903316
996   $aQuantum Quadratic Operators and Processes$92182308
997   $aUNISA