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2010

Do Cosmological Perturbations Have Zero Mean?

Armendariz-Picon, C.

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A central assumption in our analysis of cosmic structure is that cosmological perturbations have zero ensemble mean.

This property is one of the consequences of statistically homogeneity, the invariance of correlation functions under spatial translations.
In this article we explore whether cosmological perturbations indeed have zero mean, and thus test one aspect of statistical homogeneity.
We carry out a classical test of the zero mean hypothesis against a class of alternatives in which perturbations have non-vanishing means, but homogeneous and isotropic covariances.

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C. Armendariz-Picon, “Footprints of Statistical Anisotropies,” JCAP 0603
2006
Earlier work this paper cites.

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