# On the Abel-N\"orlund-Voronoi summability and instability of rational maps

## TL;DR

This paper explores how the instability of rational maps relates to summability methods used on the spectrum of critical points within Julia sets, providing insights into complex dynamical behaviors.

## Contribution

It introduces a novel link between summability techniques and the instability phenomena in rational maps, focusing on spectral analysis of critical points.

## Key findings

- Established a connection between summability methods and rational map instability
- Identified spectral properties associated with Julia set critical points
- Provided theoretical insights into dynamical instability mechanisms

## Abstract

We investigate the connection between the instability of rational maps and summability methods applied to the spectrum of a critical point on the Julia set of a given rational map.