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

Volodymyr Nekrashevych

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 $P{C}^2$ to itself. We show a relation…