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arXiv · 1406.3614

Slope problem for trajectories of holomorphic semigroups in the unit disc

Manuel D. Contreras·Santiago Diaz-Madrigal·Pavel Gumenyuk
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Abstract

It has been an open problem for about ten years whether every trajectory of a parabolic one-parameter semigroup in the unit disk tends to the Denjoy-Wolff point with a definite (and common for all trajectories) slope. In this paper, we give the negative answer to this question.

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Manuel D. Contreras, Santiago Diaz-Madrigal, Pavel Gumenyuk. 2014-06-13. Slope problem for trajectories of holomorphic semigroups in the unit disc. https://arxiv.org/abs/1406.3614

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