Canonical Models for holomorphic iteration
arXiv:1401.6873
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.
39 pages, misprints corrected and some proofs clarified