Key points are not available for this paper at this time.
Let be an irrational number of sufficiently high type and suppose P_ (z) =e^2z+z^2 has a Siegel disk _ centered at the origin. We prove that the boundary of _ is a Jordan curve, and that it contains the critical point -e^2/2 if and only if is a Herman number.
Shishikura et al. (Mon,) studied this question.