TY - BOOK AU - Mukhamedov,Farrukh AU - Ganikhodjaev,Nasir TI - Quantum quadratic operators and processes T2 - Lecture notes in mathematics SN - 9783319228365 (alk. paper) U1 - 515.724 23 PY - 2015/// CY - Switzerland PB - Springer KW - Differentiable dynamical systems. KW - Functional analysis KW - Stochastic processes N1 - Includes bibliographical references and index; 1. Introduction -- 2. Quadratic Stochastic Operators and Their Dynamics -- 3. Quadratic Stochastic Processes -- 4. Analytic Methods in the Theory of Quadratic Stochastic Processes -- 5. Quantum Quadratic Stochastic Operators -- 6. Quantum Quadratic Stochastic Operators on -- 7. Infinite-Dimensional Quadratic Operators -- 8. Quantum Quadratic Stochastic Processes and Their Ergodic Properties-- References-- Index N2 - This 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 ER -