1307.2617 (Satoru Saito et al.)

Degeneration of the Julia set to singular loci of algebraic curves    [PDF]

Satoru Saito, Noriko Saitoh, Hiromitsu Harada, Tsukasa Yumibayashi, Yuki Wakimoto

We show that, when a non-integrable rational map changes to an integrable one continuously, a large part of the Julia set of the map approach indeterminate points (IDP) of the map along algebraic curves. We will see that the IDPs are singular loci of the curves.

View original: http://arxiv.org/abs/1307.2617