Non-Gaussian extrema counts for CMB maps

Journal Article · Sat Oct 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.083510· OSTI ID:21607869

Pogosyan, Dmitri ^[1]; Pichon, Christophe; Gay, Christophe ^[2]

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1. Department of Physics, University of Alberta, 11322-89 Avenue, Edmonton, Alberta, T6G 2G7 (Canada)
2. Institut d'astrophysique de Paris, 98, bis Boulevard Arago, 75 014, Paris (France)

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.

• OSTI ID: 21607869
• Journal Information: Physical Review. D, Particles Fields, Vol. 84, Issue 8; Other Information: DOI: 10.1103/PhysRevD.84.083510; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
DISTRIBUTION
EXCURSIONS
EXPANSION
MONTE CARLO METHOD
RANDOMNESS
RELICT RADIATION
SIMULATION
STATISTICS
TWO-DIMENSIONAL CALCULATIONS
ACCIDENTS
CALCULATION METHODS
ELECTROMAGNETIC RADIATION
MATHEMATICS
MICROWAVE RADIATION
RADIATIONS
REACTOR ACCIDENTS