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In [2] Jajte formulated the following question: Let h,(x) and hi (x) be homeomorphisms of the interval LO, 11 onto itself. Is it true that for any ~ € 1 01,1 and almost any t ~ ( 01,) there exists ...
A simple stochastic dynamical system defined on the space of doubly-infinite sequences of real numbers is considered. Limit theorems for this system are proved. The results are applied to the physic...
We consider the problem of forecasting the next (observable) state of an unknown ergodic dynamical system from a noisy observation of the present state. Our main result shows, for example, that sup...

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