# High-Resolution Simulations of Non-Gaussian Cosmic Microwave Background Maps in Spherical Coordinates

@article{Liguori2003HighResolutionSO, title={High-Resolution Simulations of Non-Gaussian Cosmic Microwave Background Maps in Spherical Coordinates}, author={Michele Liguori and S. Matarrese and Lauro Moscardini}, journal={The Astrophysical Journal}, year={2003}, volume={597}, pages={57-65} }

We describe a new numerical algorithm for obtaining high-resolution simulated maps of the cosmic microwave background (CMB) for a broad class of non-Gaussian models. The kind of non-Gaussianity we account for is based on the simple idea that the primordial gravitational potential is obtained by a nonlinear but local mapping from an underlying Gaussian random field, as results from a variety of inflationary models. Our technique, which is based on a direct realization of the potential in…

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## References

SHOWING 1-10 OF 46 REFERENCES

Testing for non-Gaussianity of the cosmic microwave background in harmonic space: an empirical process approach

- Physics
- 2002

We present a new, model-independent approach for measuring non-Gaussianity of the Cosmic Microwave Background (CMB) anisotropy pattern. Our approach is based on the empirical distribution function of…

Non-Gaussian signatures in the cosmic background radiation from warm inflation

- Physics
- 2002

We calculate the bispectrum of the gravitational field fluctuations generated during warm inflation, where dissipation of the vacuum potential during inflation is the mechanism for structure…

Tests for primordial non-Gaussianity

- Physics
- 2001

We investigate the relative sensitivities of several tests for deviations from Gaussianity in the primordial distribution of density perturbations. We consider models for non-Gaussianity that mimic…

Non-Gaussian initial conditions in cosmological N-body simulations. II, Cold Dark Matter models

- Physics
- 1991

Results are reported on N-body simulations of the large-scale structure of the Universe starting from non-Gaussian initial conditions in a cold dark matter cosmogony. Three multiplicative models are…

Non-Gaussian temperature fluctuations in the cosmic microwave background sky from a random Gaussian density field

- Physics
- 1991

It is pointed out that the cosmic microwave background (CMB) temperature fluctuations, observed in the microwave sky with a large antenna beam, may not be Gaussian distributed, even if the primordial…

The Abundance of high-redshift objects as a probe of non-Gaussian initial conditions

- Physics
- 2000

The observed abundance of high-redshift galaxies and clusters contains precious information about the properties of the initial perturbations. We present a method to compute analytically the number…

Extended empirical process test for non-Gaussianity in the CMB, with an application to non-Gaussian inflationary models

- Physics
- 2003

In (Hansen et al. 2002) we presented a new approach for measuring non-Gaussianity of the Cosmic Microwave Background (CMB) anisotropy pattern, based on the multivariate empirical distribution…

The performance of spherical wavelets to detect non‐Gaussianity in the cosmic microwave background sky

- Physics
- 2002

We investigate the performance of spherical wavelets in discriminating between standard inflationary (Gaussian) and non-Gaussian models. For the latter we consider small perturbations of the Gaussian…

Numerical Simulation of Non‐Gaussian Random Fields with Prescribed Marginal Distributions and Cross‐Correlation Structure. II. Multivariate Random Fields

- Physics
- 2002

ABSTRACT We provide theoretical procedures and practical recipes to simulate non‐Gaussian correlated, homogeneous random fields with prescribed marginal distributions and cross‐correlation structure,…

Cosmic microwave background bispectrum and inflation

- Physics
- 2000

We derive an expression for the non-Gaussian cosmic microwave background (CMB) statistic Il3 defined recently by Ferreira, Magueijo, and Gorski in terms of the slow-roll-inflation parameters e and η.…