Mathematics – Dynamical Systems
Scientific paper
2010-06-16
Bull. Braz. Math. Soc., New Series 41(2) (2010), 237-257
Mathematics
Dynamical Systems
Scientific paper
Given an ergodic measure with positive entropy and only positive Lyapunov
exponents, its dynamical quantifiers can be approximated by means of
quantifiers of some family of uniformly expanding repellers. Here non-uniformly
expanding maps are studied that are $C^{1+\beta}$ smooth outside a set of
possibly critical or singular points.
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