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math.DS2019
A spectral decomposition of the attractor of piecewise contracting maps of the interval
A. Calderón, E. Catsigeras, P. Guiraud
We study the asymptotic dynamics of piecewise contracting maps defined on a compact interval. For maps that are not necessarily injective, but have a finite number of local extrema…
math.DS2019★ 2 cited
Ergodic measures with infinite entropy
Eleonora Catsigeras, Serge Troubetzkoy
We construct ergodic probability measures with infinite metric entropy for typical continuous maps and homeomorphisms on compact manifolds. We also construct sequences of such meas…