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arXiv · 1401.6873

Canonical Models for holomorphic iteration

Leandro Arosio·Filippo Bracci
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Abstract

We construct canonical intertwining semi-models with Kobayashi hyperbolic base space for holomorphic self-maps of complex manifolds which are univalent on some absorbing cocompact hyperbolic domain. In particular, in the unit ball we solve the Valiron equation for hyperbolic univalent self-maps and for hyperbolic semigroups.

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Leandro Arosio, Filippo Bracci. 2014-10-25. Canonical Models for holomorphic iteration. https://arxiv.org/abs/1401.6873

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