An alternative proof of the non-Archimedean Montel theorem for polynomial dynamics

TL;DR

This paper presents a new proof of the non-Archimedean Montel theorem, also known as Hsia's criterion, specifically applied to polynomial dynamics, offering an alternative approach to existing proofs.

Contribution

The paper provides an alternative proof of Hsia's criterion for polynomial dynamics in the non-Archimedean setting, expanding the theoretical understanding of the theorem.

Findings

New proof of the non-Archimedean Montel theorem for polynomial dynamics

Enhanced understanding of Hsia's criterion in non-Archimedean dynamics

Potential implications for further research in non-Archimedean complex dynamics

Abstract

We will see an alternative proof of the non-Archimedean Montel theorem, which is also called Hsia's criterion, for polynomial dynamics.