Geodesic
Density of periodic orbit measures for transformations on the interval with two monotonic pieces
Fundamenta Mathematicae, Tome 157 (1998) no. 2, pp. 221-234 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Transformations T:[0,1] → [0,1] with two monotonic pieces are considered. Under the assumption that T is topologically transitive and $h_{top}(T) > 0$, it is proved that the invariant measures concentrated on periodic orbits are dense in the set of all invariant probability measures.
DOI : 10.4064/fm_1998_157_2-3_1_221_234
Keywords: piecewise monotonic map, invariant measure, periodic orbit measure, Markov diagram 
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     title = {Density of periodic orbit measures for transformations on the interval with two monotonic pieces},
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Franz Hofbauer; Peter Raith. Density of periodic orbit measures for transformations on the interval with two monotonic pieces. Fundamenta Mathematicae, Tome 157 (1998) no. 2, pp. 221-234. doi: 10.4064/fm_1998_157_2-3_1_221_234

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