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arXiv · 1105.2881

Boundary behavior and rigidity of semigroups of holomorphic mappings

Mark Elin·David Shoikhet
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Abstract

In this paper we give some quantative characteristics of boundary asymptotic behavior of semigroups of holomorphic self-mappings of the unit disk including the limit curvature of their trajectories at the boundary Denjoy--Wolff point. This enable us to establish an asymptotic rigidity property for semigroups of parabolic type.

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Mark Elin, David Shoikhet. 2011-05-14. Boundary behavior and rigidity of semigroups of holomorphic mappings. https://arxiv.org/abs/1105.2881

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