98-234 L.D. Pustyl'nikov
The standard map and a probabilistic analogue (20K, LATeX 2e) Mar 27, 98
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Abstract. This paper is devoted to the study of statistical properties of trajectories of a class of dynamical systems which includes the standard map. A well known conjecture is formulated and its natural probabilistic analogue is defined in the framework of ergodic theory of random transformations. The main results is the proof of the probabilistic analogue of this conjecture.

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