The Statistics of Weak Lensing at Small Angular Scales: Probability Distribution Function

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dc.creatorMunshi, Dipak
dc.creatorJain, Bhuvnesh
dc.date1999-11-29
dc.date.accessioned2026-07-07T11:46:11Z
dc.date.available2026-07-07T11:46:11Z
dc.descriptionWeak gravitational lensing surveys have the potential to directly probe mass density fluctuation in the universe. Recent studies have shown that it is possible to model the statistics of the convergence field at small angular scales by modeling the statistics of the underlying density field in the highly nonlinear regime. We propose a new method to model the complete probability distribution function of the convergence field as a function of smoothing angle and source redshift. The model relies on a hierarchical ansatz for the behavior of higher order correlations of the density field. We compare our results with ray tracing simulations and find very good agreement over a range of smoothing angles. Whereas the density probability distribution function is not sensitive to the cosmological model, the probability distribution function for the convergence can be used to constrain both the power spectrum and cosmological parameters.
dc.description16 pages including 10 figures and 1 table, MNRAS, submitted
dc.identifierhttps://arxiv.org/abs/astro-ph/9911502
dc.identifierhttp://arxiv.org/abs/astro-ph/9911502
dc.identifierMon.Not.Roy.Astron.Soc.318:109,2000
dc.identifierdoi:10.1046/j.1365-8711.2000.03694.x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202137
dc.subjectAstrophysics
dc.titleThe Statistics of Weak Lensing at Small Angular Scales: Probability Distribution Function
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