37 citations · 135 across the 30 of their papers we have counts for
30 papers
Entropy formula for C1 expanding maps
Eleonora Catsigeras, Fernando Valenzuela Gómez
We prove that the (necessarily existing) pseudo-physical or SRB-like measures of C1 expanding dynamical systems on a compact Riemannian manifold satisfy Pesin entropy formula. We i…
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…
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…
Invariant measures for typical continuous maps on manifolds
Eleonora Catsigeras, Serge Troubetzkoy
We study the invariant measures of typical maps on compact connected manifolds with or without boundary, and also of typical homeomorphisms. We prove that the weak closur…
Ergodic Theorems for the Transfer Operators of Noisy Dynamical Systems
Eleonora Catsigeras
We consider stationary stochastic dynamical systems evolving on a compact metric space, by perturbing a deterministic dynamics with a random noise, added according to an arbitrary…
Empiric stochastic stability of physical and pseudo-physical measures
Eleonora Catsigeras
We define the empiric stochastic stability of an invariant measure in the finite-time scenario, the classical definition of stochastic stability. We prove that an invariant measure…