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Measures related to $(\epsilon,n)$complexity functions
New examples of Sunimodal maps with a sigmafinite 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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