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Title: Tomography and weak lensing statistics

We provide generic predictions for the lower order cumulants of weak lensing maps, and their correlators for tomographic bins as well as in three dimensions (3D). Using small-angle approximation, we derive the corresponding one- and two-point probability distribution function for the tomographic maps from different bins and for 3D convergence maps. The modelling of weak lensing statistics is obtained by adopting a detailed prescription for the underlying density contrast that involves hierarchal ansatz and lognormal distribution. We study the dependence of our results on cosmological parameters and source distributions corresponding to the realistic surveys such as LSST and DES. We briefly outline how photometric redshift information can be incorporated in our results. We also show how topological properties of convergence maps can be quantified using our results.
Authors:
;  [1] ;  [2]
  1. Astronomy Centre, School of Mathematical and Physical Sciences, University of Sussex, Department of Physics and Astronomy, Brighton, BN1 9QH (United Kingdom)
  2. Excellence Cluster Universe, Boltzmannstrasse 2, Garching bei M√ľnchen, D-85748 (Germany)
Publication Date:
OSTI Identifier:
22373675
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 04; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; APPROXIMATIONS; CONVERGENCE; DENSITY; DISTRIBUTION; DISTRIBUTION FUNCTIONS; GRAVITATIONAL LENSES; MAPS; PROBABILITY; RED SHIFT; SIMULATION; STATISTICS; TOMOGRAPHY; TOPOLOGY