Statistics – Computation
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mnras.257..715d&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 257, no. 4, Aug. 15, 1992, p. 715-730. Research support
Statistics
Computation
24
Computational Astrophysics, Periodic Variations, Red Shift, White Noise, Cosmology, Pencil Beams, Power Spectra, Sky Surveys (Astronomy)
Scientific paper
A strategy is proposed for evaluating the theoretical implications of large-scale 'periodicity' in deep pencil-beam redshift surveys. In order to rule out the whole standard family of models that assume isotropic Gaussian fluctuations, the data are confronted with an extreme representative of this family, in which a characteristic scale of about 100/h Mpc was built into the power spectrum. A random-phased realization of such a spectrum is generated and evolved in time; 'galaxies' are identified and counted along randomly oriented long pencils. These Gaussian pencils are found to be as 'periodic' as the NGP + SGP pencil a few percent of the time. If a few more independent two-sided pencils of similar length are observed to score similarly under the same statistics, then Gaussian fluctuations will be rejected with high confidence. A cubic-lattice toy model scores similarly to the Gaussian model, indicating that no homogeneous cosmology would permit several 1800/h Mpc pencils as periodic as the NGP + SGP pencil.
Blumenthal George R.
Dekel Avishai
Primack Joel R.
Stanhill David
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