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Dynamical (non-)recurrence of escaping exponential maps

Cui, Weiwei et al.
arXiv (All) · Papers
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complex-variablesdynamical-systems
We show that exponential maps could have complicated measurable behaviours by giving two examples in the exponential family both with singular value escaping to infinity ``slowly", one of which is recurrent (in the sense that every positive measure set will return to itself infinitely many times), w
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