Stochastic processes and dynamical systems in measure spaces are defined as classes of random variables in the Doob sense. Markov processes which are ergodic iato a “strong” sense are shoiwn to be suitable models for the thermodynamic irreverisilitiy. These processes are isomorphic, in the Doob sense, with Kolmogorov dynamical systems into the speces of trajectories. In this approach, we show that the Misra-Prigogine-Courbage theory of irreversibility can be formulated as a change of representation, from strong egodic. Markov processes to dynamical systems into the space of trajectories. The physical meaning is that all strong ergodic Markov processes, describing experimentally observed irreversibility, can be formally presented as unitary “superdynamics”.
Tiberiu Popoviciu Institute of Numerical Analysis
University of Pitești
N. Suciu, (2000), On the Misra-Prigogine-Courbage theory of irreversibility 2. The existence of the nonunitary similarity, Buletin ştiintific, Seria Mat.şi Inf. (Univ. Piteşti), 6, 213-222.
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