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math.DS2018★ 4 cited
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…
math.DS2018
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…