Analysis of the Spatial Distribution of Galaxies by Multiscale Methods

Abstract

Galaxies are arranged in interconnected walls and filaments forming a cosmic web encompassing huge, nearly empty, regions between the structures. Many statistical methods have been proposed in the past in order to describe the galaxy distribution and discriminate the different cosmological models. We present in this paper results relative to the use of new statistical tools using the 3D isotropic undecimated wavelet transform, the 3D ridgelet transform and the 3D beamlet transform. We show that such multiscale methods produce a new way to measure in a coherent and statistically reliable way the degree of clustering, filamentarity, sheetedness, and voidedness of a dataset

26 pages, 20 figures. Submitted to EURASIP Journal on Applied Signal Processing (special issue on "Applications of Signal Processing in Astrophysics and Cosmology")

References in corpus (9)

• The 3D power spectrum of galaxies from the SDSS
• Clustering of Galaxies in a Hierarchical Universe: I. Methods and Results at z=0
• Higher criticism for detecting sparse heterogeneous mixtures
• Robust Morphological Measures for Large-Scale Structure in the Universe
• Detection and discrimination of cosmological non-Gaussian signatures by multi-scale methods
• The Superiority of the Minimal Spanning Tree in Percolation Analyses of Cosmological Datasets
• A global descriptor of spatial pattern interaction in the galaxy distribution
• The Galaxy and Mass N-Point Correlation Functions: a Blast from the Past
• A New Class of Estimators for the N-point Correlations

Cited by in corpus (3)

• Morphology of the galaxy distribution from wavelet denoising
• Galaxy Superclusters and Their Complexes in the Cosmic Web
• Search for a possible quasi-periodic structure based on data of the SDSS DR12 LOWZ