02639nam a2200373 i 4500991003263519707536160728s2015 sz b 001 0 eng d9783319228365b14305410-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng510AMS 81-01AMS 37A50AMS 47D07AMS 60J25LC QA614.8.M85Mukhamedov, Farrukh718156Quantum quadratic operators and processes /Farrukh Mukhamedov, Nasir GanikhodjaevCham [Switzerland] :Springer,c2015xiv, 231 p. ;24 cmLecture notes in mathematics,0075-8434 ;2133Includes bibliographical references and indexIntroduction ; 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 processesCovering 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 usefulDifferentiable dynamical systemsFunctional analysisStochastic processesGanikhodjaev, Nasirauthorhttp://id.loc.gov/vocabulary/relators/aut721406.b1430541022-11-1628-07-16991003263519707536LE013 81-XX MUK11 (2015)12013000293875le013pE46.79-l- 01010.i1578909322-11-16Quantum quadratic operators and processes1413244UNISALENTOle01328-07-16ma -engsz 00