Mathematics – Dynamical Systems
Scientific paper
2008-05-14
Advances in Mathematics 221 (2009) No. 5 1428-1444
Mathematics
Dynamical Systems
15 pages, 1 Figure
Scientific paper
We prove that, under a mild summability condition on the growth of the
derivative on critical orbits any piecewise monotone interval map possibly
containing discontinuities and singularities with infinite derivative (cusp
map) admits an ergodic invariant probability measures which is absolutely
continuous with respect to Lebesgue measure.
Araujo Vitor
Luzzatto Stefano
Viana Marcelo
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