Infinite-dimensional Thurston theory and transcendental dynamics II: classification of entire functions with escaping singular orbits
arXiv:2102.10728 · doi:10.1016/j.aim.2024.109818
Abstract
We classify transcendental entire functions that are compositions of a polynomial and the exponential for which all singular values escape on disjoint rays. The construction involves an iteration procedure on an infinite-dimensional Teichmüller space, analogously to the Thurston's classical Topological Characterization of Rational Functions, but for an infinite set of marked points.
26 pages, 0 figures, accepted manuscript: minor improvements throughout the article, some proofs slightly upgraded. This article draws heavily from arXiv:2102.00300