7 citations · 9 across the 2 of their papers we have counts for
4 papers
David maps and Hausdorff Dimension
S. Zakeri
David maps are generalizations of classical planar quasiconformal maps for which the dilatation is allowed to tend to infinity in a controlled fashion. In this note we examine how…
External rays and the real slice of the Mandelbrot set
Saeed Zakeri
This paper investigates the set of angles of the parameter rays which land on the real slice of the Mandelbrot set. We prove that this set has zero length but Hausdorff…
Dynamics of Singular Holomorphic Foliations on the Complex Projective Plane
Saeed Zakeri
This manuscript is an introduction to the theory of holomorphic foliations on the complex projective plane. Historically the subject has emerged from the theory of ODEs in the comp…
Mating Siegel Quadratic Polynomials
Michael Yampolsky, Saeed Zakeri
Let F be a quadratic rational map of the sphere which has two fixed Siegel disks with bounded type rotation numbers theta and nu. Using a new degree 3 Blaschke product model for th…