Canonical Models for holomorphic iteration

Published 27 Jan 2014 in math.CV and math.DS | (1401.6873v2)

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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