!!!! Bat A salle de réunion 601 du 6ème étage !!!!
REAL SPACE PROPERTIES OF THE HARRISON-ZELDOVICH SPECTRUM
Michael JOYCE
Univ. Paris IX, Orsay
Résumé :
A brief review of the description of perturbations in cosmology will
first be given, with emphasis on the sometimes non-trivial relation
between k-space and real space properties. We note that, in
cosmology, the use of Gaussian spheres often obscures the very
striking real space properties of the Harrison-Zeldovich spectrum
(the "primordial" perturbation spectrum). We describe these
properties, in particular a real space mass variance which
corresponds to the most rapid possible decay of this quantity for ANY
distribution, as well as power-law ANTI-correlation at large scales.
Giving a simple classification of all correlated systems, we explain
why these distributions are described in the language of statistical
physics as "glass-like", and we give some examples to illustrate
their properties.