Statistical geometry and the microwave background

Details Statistical geometry and the microwave background Statistical geometry and the microwave background

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.234..509c&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 234, Oct. 1, 1988, p. 509-531.

Statistics

100

Background Radiation, Galactic Evolution, Monte Carlo Method, Statistical Distributions, Dark Matter, Galactic Clusters, Microwave Frequencies, Statistical Tests

Scientific paper

The authors investigate some aspects of the statistical geometry of 2D random fields relevant to studies of temperature anisotropies in the microwave background. They extend the work of Coles & Barrow (1987) to calculate the expectation values of the Euler-Poincaré characteristic of the excursion sets of Gaussian and non-Gaussian random fields above various threshold levels. Monte Carlo simulations of Gaussian and non-Gaussian fields possessing the covariance function expected in CDM models are used to assess the usefulness of this, and other, pattern statistics as discriminators between Gaussian and non-Gaussian random fields and hence between Gaussian and non-Gaussian primordial fluctuations.

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