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math.DS2008★ 3 cited
Distance Expanding Random Mappings, Thermodynamic Formalism, Gibbs Measures, and Fractal Geometry
Volker Mayer, Bartlomiej Skorulski, Mariusz Urbański
In this paper we define distance expanding random dynamical systems. We develop the appropriate thermodynamic formalism of such systems. We obtain in particular the existence and u…
math.DS2008
Non-existence of absolutely continuous invariant probabilities for exponential maps
Neil Dobbs, Bartlomiej Skorulski
We show that for entire maps of the form such that the orbit of zero is bounded and such that Lebesgue almost every point is transitive, no absolutely continuo…