Statistical properties of some almost hyperbolic systems (Q2778781)

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scientific article; zbMATH DE number 1722409
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Statistical properties of some almost hyperbolic systems
scientific article; zbMATH DE number 1722409

    Statements

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    24 September 2002
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    hyperbolic system
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    indifferent point
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    decay of correlations
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    Statistical properties of some almost hyperbolic systems (English)
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    A smooth discrete time dynamical system \((T,X)\) is called almost hyperbolic if it is hyperbolic everywhere except a finite number of points. The author considers two cases of such systems: almost Anosov maps on surfaces and almost expanding maps on intervals with exceptional points being fixed indifferent points in both cases. The main results concern conditions for existence of SRB measures and rates of decay of correlations with respect to them.NEWLINENEWLINEFor the entire collection see [Zbl 0973.00044].
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