Metric attractors for smooth unimodal maps

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Abstract

We classify the measure theoretic attractors of general C3 unimodal maps with quadratic critical points. The main ingredient is the decay of geometry.

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Graczyk, J., Sands, D., & Świa̧tek, G. (2004). Metric attractors for smooth unimodal maps. Annals of Mathematics, 159(2), 725–740. https://doi.org/10.4007/annals.2004.159.725

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