A generalization of the converse of Brolin's theorem

TL;DR

This paper extends Lopes's theorem, providing a broader understanding of the conditions under which the converse of Brolin's theorem holds in complex dynamics.

Contribution

It introduces a generalized version of Lopes's theorem, expanding the theoretical framework of Brolin's theorem in complex dynamics.

Findings

Generalized Lopes's theorem proved

Broader conditions for the converse of Brolin's theorem established

Enhanced understanding of complex dynamical systems

Abstract

We prove a generalization of Lopes's theorem, that is, of the converse of Brolin's theorem.