0000000000637266
AUTHOR
Bernard J. T. Jones
Why the Universe is not a fractal
L'etude du survey des redshifts CfA montre que la distribution des galaxies dans l'Univers obeit a une loi d'echelle sur des echelles de longueur inferieures a environ 5 h −1 Mpc. Cependant, l'Univers n'est pas bien represente par une fractale homogene sur ces echelles. La dependance de la longueur de correlation avec la profondeur des echantillons et la luminosite est etudiee. Une methode basee sur l'arbre maximal est presentee pour determiner la dimension de Hausdorff d'une distribution de points. Cette technique est ensuite appliquee au catalogue CfA
Scaling laws in the distribution of galaxies
Research done during the previous century established our Standard Cosmological Model. There are many details still to be filled in, but few would seriously doubt the basic premise. Past surveys have revealed that the large-scale distribution of galaxies in the Universe is far from random: it is highly structured over a vast range of scales. To describe cosmic structures, we need to build mathematically quantifiable descriptions of structure. Identifying where scaling laws apply and the nature of those scaling laws is an important part of understanding which physical mechanisms have been responsible for the organization of clusters, superclusters of galaxies and the voids between them. Find…
Mean-field correlations in the core of rich galaxy clusters
We develop a theory for the contribution to the clustering correlation function from gravitational interactions of neighboring pairs of galaxies in clusters. This is based on the «Hypernetted Chain Equation», a self-consistent integral equation relating the correlation function to the interaction potential.