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Invariant measures for typical quadratic maps

Marco Martens·Tomasz Nowicki
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Abstract

A sufficient geometrical condition for the existence of absolutely continuous invariant probability measures for S-unimodal maps will be discussed. The Lebesgue typical existence of such measures in the quadratic family will be a consequence.

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Marco Martens, Tomasz Nowicki. 1998-08-11. Invariant measures for typical quadratic maps. https://arxiv.org/abs/math/9606220

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