Density of periodic orbit measures for transformations on the interval with two monotonic pieces

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Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria

Transformations T:[0,1] → [0,1] with two monotonic pieces are considered. Under the assumption that T is topologically transitive and

h_{⊤} (T) > 0

, it is proved that the invariant measures concentrated on periodic orbits are dense in the set of all invariant probability measures.

piecewise monotonic map, invariant measure, periodic orbit measure, Markov diagram

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