Mating, paper folding, and an endomorphism of PC^2

preprint2016arXivOpen access

We are studying topological properties of the Julia set of the map $F(z, p)=((2z/(p+1)-1)^2, ((p-1)/(p+1))^2)$ of the complex projective plane $PC^2$ to itself. We show a relation of this rational function with an uncountable family of "paper folding" plane filling curves.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Write a reviewWrite

No reviews yet.

Add a commentWrite

No comments yet.

Mating, paper folding, and an endomorphism of PC^2

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0