Phase Correlations and Topological Measures of Large-scale Structure

Details Phase Correlations and Topological Measures of Large-scale Structure Phase Correlations and Topological Measures of Large-scale Structure

2005-02-04

arxiv.org/abs/astro-ph/0502088v1

Astronomy and Astrophysics

Astrophysics

30 pages, 4 figures, to appear in ``Data Analysis in Cosmology'', eds V.J. Martinez, E. Martnez-Gonzalez, M.J. Pons-Borderia a

Scientific paper

In these lecture notes I discussed the importance of phase correlations for the morphology of large-scale structure and how phase analysis can probe primordial non-Gaussianity and/or foreground contamination in CMB temperature maps. I illustrate the ideas with application to the preliminary WMAP first-year data. I also briefly introduce topological characteristics such as the genus and Minkowski functionals, and how they provide a real-space diagnostic of phase correlations.

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