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arxiv: 1004.0230 · v3 · pith:AFFP7H6Bnew · submitted 2010-04-01 · 🧮 math.DS

Statistical properties of one-dimensional maps under weak hyperbolicity assumptions

classification 🧮 math.DS
keywords measurespropertiesgeometrichyperbolicityone-dimensionalstatisticalweakassumption
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For a real or complex one-dimensional map satisfying a weak hyperbolicity assumption, we study the existence and statistical properties of physical measures, with respect to geometric reference measures. We also study geometric properties of these measures.

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