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First return map and invariant measures |
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| Authors: | Giulio Pianigiani |
| Affiliation: | (1) Istituto Matematico “Ulisse Dini” Università di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy |
| Abstract: | We give sufficient conditions for the existence of absolutely continuous invariant measures, finite or σ-finite, for maps on the interval. We givea priori bound for the number of different ergodic measures. The results are obtained via the first return map. |
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