Distributions of Fourier Modes of Cosmological Density Fields
**Previous
abstract** **Next
abstract**

**Session 62 -- Large Scale Structures**
*Display presentation, Thursday, 2, 1994, 10:00-11:30*

## [62.06] Distributions of Fourier Modes of Cosmological Density Fields

*Z. H. Fan, J. M. Bardeen (Department of Physics, University of Washington)*
We discuss the probability distributions of Fourier modes of
cosmological density fields using the central limit theorem
as it applies to weighted integrals of random fields. It is
shown that if the cosmological principle holds in a certain
sense, i.e., the universe approaches homogeneity and isotropy
sufficiently rapidly on very large scales, the one-point distribution
of each Fourier mode of the density field is Gaussian whether or not
the density field itself is Gaussian. Therefore, one-point
distributions of the power spectrum obtained from observational
data or from simulations cannot be a good test of whether the
density field is Gaussian.

**Thursday
program listing**