The Large Scale Structure in the Universe: From Power-Laws to Acoustic Peaks
Vicent J. Martinez

TL;DR
This review traces the evolution of statistical tools like the two-point correlation function and power spectrum in understanding cosmic large-scale structures, highlighting the discovery of Baryon Acoustic Oscillations in galaxy surveys.
Contribution
It provides a comprehensive overview of how statistical analysis of galaxy distributions has advanced from early catalogues to modern surveys, emphasizing key discoveries such as BAO detection.
Findings
Development of statistical tools for galaxy distribution analysis
Detection of Baryon Acoustic Oscillations in large surveys
Evolution of understanding of cosmic structures
Abstract
The most popular tools for analysing the large scale distribution of galaxies are second-order spatial statistics such as the two-point correlation function or its Fourier transform, the power spectrum. In this review, we explain how our knowledge of cosmic structures, encapsulated by these statistical descriptors, has evolved since their first use when applied on the early galaxy catalogues to the present generation of wide and deep redshift surveys, incorporating the most challenging discovery in the study of the galaxy distribution: the detection of Baryon Acoustic Oscillations.
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