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Measures related to $(\epsilon,n)$-complexity functions
New examples of S-unimodal maps with a sigma-finite absolutely continuous invariant measure
1. | Department of Mathematics, Howard University, DC, United States |
2. | Department of Mathematics, University of Surrey, United Kingdom |
3. | Department of Mathematics, University of MD, College Park, MD, United States |
We prove the following dichotomy. Every absolutely continuous invariant measure is either $\sigma$-finite, or else it is infinite on every set of positive Lebesgue measure.
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