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On the packing dimension of the Julia set and the escaping set of an entire function

We show that for large classes of entire functions the Julia set and the escaping set have packing dimension two. For example, this is the case for entire functions which are bounded on a curve tending to infinity. More generally, we show that the result holds under suitable growth conditions involving the minimum and maximum modulus.

preprint2011arXivOpen access
Walter Bergweiler
math.CVmath.DS
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Walter Bergweiler

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