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arxiv: math/9606220 · v2 · submitted 1996-06-15 · 🧮 math.DS

Invariant measures for typical quadratic maps

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keywords measuresexistenceinvariantmapsquadratictypicalwillabsolutely
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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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