The Julia set of a post-critically finite endomorphism of PC^2

TL;DR

This paper constructs a combinatorial model of the Julia set for a specific endomorphism of complex projective space, providing insights into its structure and dynamics.

Contribution

It introduces a novel combinatorial model for the Julia set of a particular post-critically finite endomorphism of PC^2.

Findings

Successful construction of a combinatorial model for the Julia set

Enhanced understanding of the dynamics of the specific endomorphism

Potential applications to complex dynamics and fractal geometry

Abstract

We construct a combinatorial model of the Julia set of the endomorphism $f(z, w)=((1-2z/w)^2, (1-2/w)^2)$ of $PC^2$.