# name
Singular values and bounded Siegel disks

# metadata.dc.description.abstract[].value
Let $f$ be an entire transcendental function of finite order and $\Delta$ be a forward invariant bounded Siegel disk for $f$ with rotation number in Herman's class . We show that if $f$ has two singular values with bounded orbit, then the boundary of $\Delta$ contains a critical point. We also give a criterion under which the critical point in question is recurrent. We actually prove a more general theorem with less restrictive hypotheses, from which these results follow.

# metadata.dc.relation.ispartof[].value
Mathematical Proceedings of the Cambridge Philosophical Society, 2018, vol. 165, num. 2, p. 249-265

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Singular values and bounded Siegel disks