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020 _a9783319228372
_9978-3-319-22837-2
024 7 _a10.1007/978-3-319-22837-2
_2doi
050 4 _aQA313
072 7 _aPBWR
_2bicssc
072 7 _aMAT034000
_2bisacsh
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082 0 4 _a515.39
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082 0 4 _a515.48
_223
100 1 _aMukhamedov, Farrukh.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aQuantum Quadratic Operators and Processes
_h[electronic resource] /
_cby Farrukh Mukhamedov, Nasir Ganikhodjaev.
250 _a1st ed. 2015.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXIV, 231 p. 1 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2133
505 0 _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.
520 _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.
650 0 _aDynamics.
650 0 _aErgodic theory.
650 0 _aFunctional analysis.
650 0 _aOperator theory.
650 0 _aProbabilities.
650 1 4 _aDynamical Systems and Ergodic Theory.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
650 2 4 _aFunctional Analysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12066
650 2 4 _aOperator Theory.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12139
650 2 4 _aProbability Theory and Stochastic Processes.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M27004
700 1 _aGanikhodjaev, Nasir.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319228365
776 0 8 _iPrinted edition:
_z9783319228389
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2133
856 4 0 _uhttps://doi.org/10.1007/978-3-319-22837-2
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-LNM
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