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SÉMINAIRE DU LERMA
OBSERVATOIRE DE PARIS
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Jeudi 21 mars 2002, à 14h 30,

77 avenue Denfert Rochereau, Paris 14

!!!! 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.