Multifractal Analysis of Ergodic Averages in Some Nonuniformly Hyperbolic Systems

Abstract

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

15 pages

References in corpus (2)

• Multifractal analysis for historic set in topological dynamical systems
• Multifractal formalism for Benedicks-Carleson quadratic maps

Cited by in corpus (1)

• Multifractal analysis of the irregular set for almost-additive sequences via large deviations