Other Existence Results
In this chapter we present existence results that do not use the bounded variation technique. In particular, we shall provide a modern proof of the Folklore Theorem which established the existence of absolutely continuous invariant measure for Markov transformations. Inspired by number theoretical questions Rényi  proved the first version of this theorem for piecewise onto transformations. We follow closely the development in [Adler and Flatto, 1991].
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