The Natural Extension of the -transformation
نویسندگان
چکیده
For each real number > 1 the-transformation is deened by T x = x(mod1). In this paper the natural extension T of the ergodic system underlying T is explicitly given. Furthermore, it is shown that a certain induced system of this natural extension is Bernoulli. Since T is weakly mixing, due to W. Parry, it follows from a deep result of A. Saleski that the natural extension is also Bernoulli, a result previously obtained by M. Smorodinsky.
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تاریخ انتشار 1996