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

• Autorzy: Franz Hofbauer , Peter Raith
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 54H20: Topological dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 157
• Numer: 2-3
• Strony: 221-234

Daty

wydano

1998

otrzymano

1997-09-17

poprawiono

1997-10-17

Twórcy

autor

Franz Hofbauer

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

autor

Peter Raith

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

Bibliografia

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