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Abstract: We prove that, under a mild summability condition on the growth of thederivative on critical orbits any piecewise monotone interval map possiblycontaining discontinuities and singularities with infinite derivative cuspmap admits an ergodic invariant probability measures which is absolutelycontinuous with respect to Lebesgue measure.



Author: Vitor Araujo, Stefano Luzzatto, Marcelo Viana

Source: https://arxiv.org/







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