Mathematics – Probability
Scientific paper
Sep 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mnras.258...36z&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 258, no. 1, Sept. 1, 1992, p. 36-44.
Mathematics
Probability
48
Big Bang Cosmology, Intergalactic Media, Ionization, Lyman Alpha Radiation, Quasars, Variations, Absorption Spectra, Astronomical Models, Probability Distribution Functions, Red Shift
Scientific paper
A formalism is derived to deal with the fluctuations in the ionizing field produced by randomly distributed sources in an expanding universe as well as in a Euclidean space. The probability distribution function P(J) is calculated for some models. Absorption by QSO absorption-line systems reduces the total number of sources involved in producing J and therefore enhances the fluctuations significantly. The possibility of detecting the 'clearings' or 'voids' in Ly-alpha forests is studied, and it is very difficult to distinguish statistically between a real clearing and a large gap produced merely by fluctuations in the line distribution. High-redshift quasars and weak Ly-alpha forest lines should be involved in searching for the clearings.
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