37 citations · 135 across the 30 of their papers we have counts for
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math.DS2017
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…
math.DS2017★ 4 cited
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…
math.DS2017
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…