Canonical models for holomorphic iteration

Arosio, Leandro; Bracci, Filippo

doi:10.1090/tran/6593

Canonical models for holomorphic iteration
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by Leandro Arosio and Filippo Bracci PDF

Trans. Amer. Math. Soc. 368 (2016), 3305-3339 Request permission

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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