Tuesday, 7 January 2014

ds.dynamical systems - exactness of the Gauss transformation

Dear all,



I would like to know if the Gauss transformation T(x) = fractional part of 1/x, x in (0,1) (with the Gauss invariant probability measure) is an exact endomorphism (in the sense of Rokhlin). I have failed to find an answer in the literature, any reference would be welcomed.

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