Simulating weak lensing by large-scale structure

Mathematics – Probability

Scientific paper

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Scientific paper

We use numerical simulations of ray tracing through N-body simulations to investigate weak lensing by large-scale structure. We find that on degree scales and smaller the shear and convergence statistics lie in the nonlinear regime and have a non-gaussian distribution. We test the analytic predictions of two- and three-point correlators, estimate sample sizes needed to measure them and provide error estimates. We show how the skewness and kurtosis can in principle be used to probe the mean density in the universe, but are sensitive to sampling errors and require large observed areas. The probability distribution function is likely to be more useful as a tool to investigate nonlinear effects. In particular, it shows striking differences between models with different values of the mean density Ωm.

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