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math.DS2008
No Finite Invariant Density for Misiurewicz Exponential Maps
Janina Kotus, Grzegorz Swiatek
For exponential mappings such that the orbit of the only singular value 0 is bounded, it is shown that no integrable density invariant under the dynamics exists on the complex plan…
math.DS2003
Dynamics and Universality of Unimodal Mappings with Infinite Criticality
Genadi Levin, Grzegorz Swiatek
We consider infinitely renormalizable unimodal mappings with topological type which is periodic under renormalization. We study the limiting behavior of fixed points of the renorma…