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Bounded variation and invariant measures. (English) Zbl 0575.28011
The existence and properties of invariant measures are studied which are absolutely continuous with respect to the Lebesgue measure for piecewise continuous expanding maps of an interval with finitely or infinitely many pieces of monotonicity. The paper is related to the results by P. Hofbauer and G. Keller but the used methods are different and the achieved results extend Hofbauer and Keller’s ones.
Reviewer: B.Riečan

MSC:
28D05 Measure-preserving transformations
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