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We have performed a 70 billion dark-matter particles N-body simulation in a 2$h^{-1}$ Gpc periodic box, using the concordance, cosmological model as favoredby the latest WMAP3 results. We have computed a full-sky convergence map with aresolution of $\Delta \theta \simeq 0.74$ arcmin$^{2}$, spanning 4 orders ofmagnitude in angular dynamical range. Using various high-order statistics on arealistic cut sky, we have characterized the transition from the linear to thenonlinear regime at $\ell \simeq 1000$ and shown that realistic galacticmasking affects high-order moments only below $\ell < 200$. Each domain(Gaussian and non-Gaussian) spans 2 decades in angular scale. This map istherefore an ideal tool for testing map-making algorithms on the sphere. As afirst step in addressing the full map reconstruction problem, we havebenchmarked in this paper two denoising methods: 1) Wiener filtering applied tothe Spherical Harmonics decomposition of the map and 2) a new method, calledMRLens, based on the modification of the Maximum Entropy Method on a Waveletdecomposition. While the latter is optimal on large spatial scales, where thesignal is Gaussian, MRLens outperforms the Wiener method on small spatialscales, where the signal is highly non-Gaussian. The simulated full-skyconvergence map is freely available to the community to help the development ofnew map-making algorithms dedicated to the next generation of weak-lensingsurveys.

Full-Sky Weak Lensing Simulation with 70 Billion Particles