Invariant Sets with Zero Measure and Fullhausdorff
نویسندگان
چکیده
For a subshift of nite type and a xed HH older continuous function, the zero measure invariant set of points where the Birkhoo averages do not exist is either empty or carries full Hausdorr dimension. Similar statements hold for conformal repellers and two-dimensional horseshoes, and the set of points where the pointwise dimensions, local entropies, Lyapunov exponents, and Birkhoo averages do not exist simultaneously.
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