Canonical Models for holomorphic iteration
Complex Variables
2014-10-28 v2 Dynamical Systems
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.
Cite
@article{arxiv.1401.6873,
title = {Canonical Models for holomorphic iteration},
author = {Leandro Arosio and Filippo Bracci},
journal= {arXiv preprint arXiv:1401.6873},
year = {2014}
}
Comments
39 pages, misprints corrected and some proofs clarified