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SUMMARY:The Geometry of Needlets Excursion Sets - Domenico Marinucci\, Uni
 versity of Roma Tor Vergata
DTSTART:20131011T150000Z
DTEND:20131011T160000Z
UID:TALK47605@talks.cam.ac.uk
CONTACT:20082
DESCRIPTION:In this talk\, we shall be concerned with geometric functional
 s and excursion probabilities for some nonlinear transforms evaluated on w
 avelet/needlet components of spherical random fields. For such fields\, we
  consider smoothed polynomial transforms\, such as those arising from loca
 l estimates of angular power spectra and bispectra\; we focus on the geome
 try of their excursion sets\, and we study their asymptotic behaviour\, in
  the high-frequency sense. We put particular emphasis on the analysis of E
 uler-Poincaré characteristics\, which can be exploited to derive extremel
 y accurate estimates for excursion probabilities. The present analysis is 
 motivated by the statistical investigation of asymmetries and anisotropies
  in CMB data.
LOCATION:MR12\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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