Scale-invariance of galaxy clustering

  title={Scale-invariance of galaxy clustering},
  author={Francesco Sylos Labini and Marco Montuori and Luciano Pietronero},
  journal={Physics Reports},

Scaling of voids and fractality in the galaxy distribution

We study here, from first principles, what properties of voids are to be expected in a fractal point distribution and how the void distribution is related to its morphology. We show this relation in

L'univers aux grandes échelles : études de l'homogénéité cosmique et de l'énergie noire à partir des relevés de quasars BOSS et eBOSS

Ce travail de these se separe en deux volets. Le premier volet concerne l'etude de l'homogeneite de l'univers, et le second une mesure de l'echelle BAO, qui constitue une regle standard permettant de

Cosmological distances and fractal statistics of galaxy distribution

This paper studies the effect of the distance choice in radial (non-average) statistical tools used for fractal charac- terization of galaxy distribution. After reviewing the basics of measuring

Breaking the self-averaging properties of spatial galaxy fluctuations in the Sloan Digital Sky Survey – Data release six

Statistical analyses of finite sample distributions usually assume that fluctuations are self-averaging, i.e. statistically similar in different regions of the given sample volume. By using the

Fractal Correlations in the CfA2-South Redshift Survey

We report our analysis of the properties of galaxy clustering for a new redshift sample of galaxies, the CfA2-South catalog, using statistical methods that do not rely on the assumption of

On the fractal structure of galaxy distribution and its implications for cosmology

Two fundamental empirical laws have been established in the analysis of galaxy space distribution. First, recent analyses have revealed that the three dimensional distribution of galaxies and

Fractality in cosmic topology models with spectral action gravity

We consider cosmological models based on the spectral action formulation of (modified) gravity. We analyze the coupled effects, in this model, of the presence of nontrivial cosmic topology and of

Etude statistique des corrélations dans la distribution des galaxies - application aux oscillations baryoniques acoustiques

Les Oscillations Baryoniques Acoustiques (BAOs) correspondent au phenomene d'ondes acoustiques dans le plasma baryon-photon avant la recombinaison. Ces oscillations impriment une echelle standard,

Non-linear gravitational clustering of cold matter in an expanding universe: indications from 1D toy models

Studies of a class of infinite one dimensional self-gravitating systems have highlighted that, on the one hand, the spatial clustering which develops may have scale invariant (fractal) properties,



On the determination of large scale motion in the Universe

We consider the effect of a nonisotropic selection function on the estimated values of the large scale velocities of the galaxy distribution. We show that the direction of the velocity is correlated

Fractal geometry

Editor's note: The following articles by Steven G. Krantz and Benoit B. Mandelbrot have an unusual history. In the fall of 1988, Krantz asked the Bulletin of the American Mathematical Society Book

Large-scale structure in the Universe

A variety of observations constrain models of the origin of large-scale cosmic structures. Enough observational data have accumulated to constrain (and perhaps determine) the power spectrum of

Fractal Geometry of Nature

This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.

The APM galaxy survey. II Photometric corrections.

L'article anterieur de Maddox S.J. et al. (1990, Mon.Not.R.astr.Soc., 243) presentait quelques aspects fondamentaux du survey APM (Automatic Plate Measuring), les parametres mesures par APM, et

Galaxy number counts from K = 10 to K = 23

We present K-band galaxy number counts from four surveys in the range 12<K<23 and compare them to other existing data. We show that the slope of the counts changes at K≃17 from 0.67 to 0.26.

The 60-μ and far-infrared luminosity functions of IRAS galaxies

Une etude d'un echantillon de 2818 galaxies IRAS est realisee. La fonction de luminosite a 60 μm independante des variations de flux, et la distribution de densite radiale, independante de la

On the spatial correlations of Abell clusters

If rich clusters formed where the primordial density enhancement, when averaged over an appropriate volume, was unusually large, then they give a biased measure of the large-scale density correlation