Resolving the universe with multifractals

TL;DR

This paper introduces a novel multifractal analysis method to address geometrical selection effects in galaxy surveys, enabling better understanding of clustering across scales and densities, provided incompleteness is properly managed.

Contribution

It presents a new approach combining multifractal analysis with correction techniques for selection effects in galaxy surveys.

Findings

Effective handling of geometrical selection effects

Enhanced analysis of clustering across scales and densities

Framework applicable to real survey data with proper incompleteness correction

Abstract

We present a new method for dealing with geometrical selection effects in galaxy surveys while using a multifractal framework. The power of multifractal analysis lies in its connection to higher order moments, in that it not only probes clustering on different scales but also different densities. Therefore any incompleteness issues must be correctly addressed before blindly applying this technique to real survey data.