Julia Sets on Rp and Dianalytic Dynamics

نویسنده

  • SUE GOODMAN
چکیده

We study analytic maps of the sphere that project to well-defined maps on the nonorientable real surface RP. We parametrize all maps with two critical points on the Riemann sphere C∞, and study the moduli space associated to these maps. These maps are also called quasi-real maps and are characterized by being conformally conjugate to a complex conjugate version of themselves. We study dynamics and Julia sets on RP of a subset of these maps coming from bicritical analytic maps of the sphere.

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تاریخ انتشار 2014