- 98-234 L.D. Pustyl'nikov
- The standard map and a probabilistic analogue
(20K, LATeX 2e)
Mar 27, 98
(auto. generated ps),
of related papers
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.