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Multifractal analysis of ergodic averages in some non-uniformly hyperbolic systems

Multifractal analysis of ergodic averages in some non-uniformly hyperbolic systems

This article is devoted to the study of the multifractal analysis of ergodic averages in some non-uniformly hyperbolic systems. In particular, our results hold for the robust classes of multidimensional non-uniformly expanding local diffeomorphisms and Viana maps.