Ask a Question

Prefer a chat interface with context about you and your work?

Singular values and bounded Siegel disks

Singular values and bounded Siegel disks

Abstract Let f be an entire transcendental function of finite order and Δ be a forward invariant bounded Siegel disk for f with rotation number in Herman's class $\mathcal{H}$ . We show that if f has two singular values with bounded orbit, then the boundary of Δ contains a critical …