4 citations · 4 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
Pseudo-physical measures for typical continuous maps of the interval
Eleonora Catsigeras, Serge Troubetzkoy
We study the measure theoretic properties of typical C 0 maps of the interval. We prove that any ergodic measure is pseudo-physical, and conversely, any pseudo-physical measure is…
Complexity of injective piecewise contracting interval maps
Eleneora Catsigeras, Pierre Guiraud, Arnaud Meyroneinc
We study the complexity of the itineraries of injective piecewise contracting maps on the interval. We prove that for any such map the complexity function of any itinerary is event…