Skip to Main content Skip to Navigation
Journal articles

Non-Gaussian extrema counts for CMB maps

Abstract : In the context of the geometrical analysis of weakly non-Gaussian cosmic microwave background maps, the 2D differential extrema counts as functions of the excursion set threshold is derived from the full moments expansion of the joint probability distribution of an isotropic random field, its gradient, and invariants of the Hessian. Analytic expressions for these counts are given to second order in the non-Gaussian correction, while a Monte Carlo method to compute them to arbitrary order is presented. Matching count statistics to these estimators is illustrated on fiducial non-Gaussian Planck data.
Document type :
Journal articles
Complete list of metadata
Contributor : Hal Sorbonne Université Gestionnaire Connect in order to contact the contributor
Submitted on : Sunday, April 24, 2022 - 8:54:06 AM
Last modification on : Sunday, April 24, 2022 - 8:54:20 AM
Long-term archiving on: : Monday, July 25, 2022 - 6:16:44 PM


Publisher files allowed on an open archive



Dmitri Pogosyan, Christophe Pichon, Christophe Gay. Non-Gaussian extrema counts for CMB maps. Physical Review D, 2011, 84, ⟨10.1103/PhysRevD.84.083510⟩. ⟨insu-03645863⟩



Record views


Files downloads