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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

On dimension of boundaries of Nevanlinna domains

Konstantin Yu. Fedorovskiy
Bauman Moscow State Technical University, Russia
https://www.researchgate.net/scientific-contributions/Konstantin-Fedorovskiy-78983498

Date(s) : 06/11/2017   iCal
10h00 - 11h00

We establish the existence of Nevanlinna domains with large boundaries. In particular, these domains can have boundaries of positive planar measure. The sets of accessible points can be of any Hausdorff dimension between 1 and 2. As a quantitative counterpart of these results, we construct rational functions univalent in the unit disc with extremely long boundaries for a given amount of poles.

https://arxiv.org/abs/1808.07436

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