Fourier spectra of three-dimensional data

Details Fourier spectra of three-dimensional data Fourier spectra of three-dimensional data

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...375...25b&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 375, July 1, 1991, p. 25-34.

Statistics

Computation

58

Fourier Transformation, Galactic Clusters, Galactic Structure, Power Spectra, Three Dimensional Models, Astronomical Catalogs, Computational Astrophysics, Numerical Analysis, Perturbation Theory

Scientific paper

The power spectrum, bispectrum, and tentatively the trispectrium, are evaluated for data from the CfA catalog and from the Perseus-Pisces redshift compilation of Giovanelli and Haynes. Knowledge of galaxy clustering is extended to scales of order 100/h Mpc. The observed power spectrum agrees well with cold dark matter. The observed bispectrum obeys the so-called hierarchical pattern, with a reduced three-point amplitude that is consistent with gravitational instability in perturbation theory starting from Gaussian initial conditions. The trispectrum is only marginally detected, but is again consistent with the hierarchical pattern; the reduced four-point amplitude is determined only to be of order unity. These results constitute perhaps the first direct observational suggestion that gravitational instability in the perturbative regime indeed operates on large scales.

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