No Finite Invariant Density for Misiurewicz Exponential Maps

Details No Finite Invariant Density for Misiurewicz Exponential Maps No Finite Invariant Density for Misiurewicz Exponential Maps

2008-01-03

arxiv.org/abs/0801.0585v1

Mathematics

Dynamical Systems

Scientific paper

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 plane.

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