Density of periodic orbit measures for transformations on the interval with two monotonic pieces
Volume 157 / 1998
Fundamenta Mathematicae 157 (1998), 221-234
DOI: 10.4064/fm_1998_157_2-3_1_221_234
Abstract
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.
