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SUMMARY:One step beyond: Halo statistics from the excursion set theory wit
 h correlated steps - Marcello Musso (University of Louvain)
DTSTART:20120611T120000Z
DTEND:20120611T130000Z
UID:TALK37578@talks.cam.ac.uk
CONTACT:Camille Bonvin
DESCRIPTION:The abundance of halos of a given mass and their statistical c
 orrelations are important tools to probe the initial conditions of the pro
 cess of structure formation\, and thus to investigate the properties (like
  the amount of non-Gaussianity) of the primordial cosmological perturbatio
 n that seeds it.\nIn the excursion set framework\, the average of the matt
 er density field over the volume corresponding to a mass scale fluctuates 
 randomly as the smoothing scale changes. The abundance of halos is mapped 
 into the rate at which these random trajectories first cross a suitable th
 reshold.\nFor physically motivated choices of the filter function to be us
 ed for the averaging\, the steps of the walks are correlated and the first
  crossing problem becomes of difficult solution.\nI will discuss how to se
 t up an expansion scheme to deal with these correlations for a Gaussian pr
 ocess\, and how non-Gaussianity can easily be included.\nSome extensions o
 f this approach to describe other fundamental probes of the initial seeds 
 of the Large Scale Structures (like the halo bias) will also be presented.
  
LOCATION:CMS\, Pav.B\, CTC Common Room (B1.19)
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