Minkowski's question mark measure is UST--regular

TL;DR

This paper proves that Minkowski's question mark measure satisfies the regularity condition defined by Ullman-Stahl-Totik, confirming a recent conjecture in the field.

Contribution

It establishes the regularity of Minkowski's question mark measure, resolving a conjecture and advancing understanding of its mathematical properties.

Findings

Minkowski's question mark measure is regular.

The conjecture about the measure's regularity is confirmed.

The result impacts the study of measures in number theory and fractal geometry.

Abstract

We prove the recent conjecture that Minkowski's question mark measure is regular, in the sense of Ullman-Stahl-Totik.