Ergodic properties of discrete quadratic stochastic processes defined on von Neumann algebras
Насир Набиевич ГаниходжаевRomanovskii Mathematical Institute of the National Academy of Sciences of the Uzbek Republic, Tashkent, UzbekistanFarrukh MukhamedovRomanovskii Mathematical Institute of the National Academy of Sciences of the Uzbek Republic, Tashkent, Uzbekistan
ABI
Abstract
The paper contains necessary and sufficient conditions under which the ergodic principle and the regularity condition hold for discrete quantum quadratic stochastic processes defined on von Neumann algebras. A connection between these processes and Markov processes is established.