The theory of the conservative dynamical semigroups and its applications. (English) Zbl 1128.47315

Chebotarev, A. M.

Kasprzak, Wacław (ed.) et al., Proceedings of the 1989 COSMEX meeting on stochastic methods in experimental sciences, held in Szklarska Poreba, Poland, 8-14 September, 1989. Singapore: World Scientific (ISBN 981-02-0178-8/hbk). 79-95 (1990).

For the entire collection see [Zbl 0812.00030].

MSC:

47D06	One-parameter semigroups and linear evolution equations
47D07	Markov semigroups and applications to diffusion processes
47N50	Applications of operator theory in the physical sciences
60J35	Transition functions, generators and resolvents
81S25	Quantum stochastic calculus

Keywords:

minimal (quantum) dynamical semigroups; minimal (sub-)Markov semigroups; diffusion semigroups; Markov jump processes; quantum dynamical semigroups; Jensen-type inequality; completely positive maps