Generation of Arbitrarily Non-Gaussian Fields with a Set Correlation Structure

Abstract

Non-Gaussianity in the cosmic microwave background and the large-scale structure of galaxies provides an increasingly powerful probe of the universe. I implement an algorithm to generate realisations of fields that possess an arbitrary probability distribution function and an arbitrary power spectrum and demonstrate the code with a number of examples, including the uniform distribution, the Laplace distribution, the $\chi$ and ${\chi }^2$ distributions, Rayleigh and Maxwell-Boltzmann distributions. The code is available at http://sourceforge.net/projects/nongaussian.

12 pages, 7 figures, ReVTeX4. Code available at http://sourceforge.net/projects/nongaussian

References in corpus (4)

• Cosmic Microwave Background Statistics for a Direction-Dependent Primordial Power Spectrum
• Scale-dependent non-Gaussianity probes inflationary physics
• On the full quantum trispectrum in multi-field DBI inflation
• The CMB temperature bispectrum induced by cosmic strings

Cited by in corpus (2)

• Beyond the Lognormal Approximation: a General Simulation Scheme
• The Supersonic Project: SIGOs, a Proposed Progenitor to Globular Clusters, and their Connections to Gravitational Wave Anisotropies