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On the set where the iterates of an entire function are bounded

  • Bergweiler W
Proceedings of the American Mathematical Society (2012) 140(3) 847-853
DOI: 10.1090/s0002-9939-2011-11456-4
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Abstract

We show that for a transcendental entire function the set of points whose orbit under iteration is bounded can have arbitrarily small positive Hausdorff dimension.

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APA

Bergweiler, W. (2012). On the set where the iterates of an entire function are bounded. Proceedings of the American Mathematical Society, 140(3), 847–853. https://doi.org/10.1090/s0002-9939-2011-11456-4

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