A class of probability measures on the space of the trajectories of a dynamical system with discrete time is introduced. The concepts of ``homogeneity of a measures'' and of ``stationarity of a measure'' are discussed for the elements of this class. And some elementary examples of such measures are studied in connection with the problem of describing those evolutions of probability which depend on the whole past distributions of the system.
Accardi, L. (1974). On the description of past dependent probabilistic evolutions. AVTOMATIKA I TELEMEKHANIKA, 50-61.
On the description of past dependent probabilistic evolutions
ACCARDI, LUIGI
1974-01-01
Abstract
A class of probability measures on the space of the trajectories of a dynamical system with discrete time is introduced. The concepts of ``homogeneity of a measures'' and of ``stationarity of a measure'' are discussed for the elements of this class. And some elementary examples of such measures are studied in connection with the problem of describing those evolutions of probability which depend on the whole past distributions of the system.File in questo prodotto:
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