Non-existence of absolutely continuous invariant probabilities for exponential maps

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We show that for entire maps of the form $z \mapsto λ\exp(z)$ such that the orbit of zero is bounded and such that Lebesgue almost every point is transitive, no absolutely continuous invariant probability measure can exist. This answers a long-standing open problem.
4 pages. Similar to the version published in Fundamenta in February 2008

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