Covering 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.