On the inhomogeneous spectrum of period two quadratics

TL;DR

This paper provides a comprehensive analysis of the inhomogeneous spectrum for period two quadratic maps, detailing its structure up to the first limit point.

Contribution

It offers a complete characterization of the inhomogeneous spectrum for period two quadratics, a novel result in the field.

Findings

Detailed description of the spectrum structure

Identification of the first limit point

Complete characterization of the spectrum

Abstract

We give a complete description of the inhomogeneous spectrum of period two quadratics down to the first limit point.