Phase Correlations and Topological Measures of Large-scale Structure
Abstract
Description
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.
30 pages, 4 figures, to appear in ``Data Analysis in Cosmology'', eds V.J. Martinez, E. Martnez-Gonzalez, M.J. Pons-Borderia and E. Saar, Springer-Verlag Lecture Notes in Physics. Uses Springer-Verlag style
30 pages, 4 figures, to appear in ``Data Analysis in Cosmology'', eds V.J. Martinez, E. Martnez-Gonzalez, M.J. Pons-Borderia and E. Saar, Springer-Verlag Lecture Notes in Physics. Uses Springer-Verlag style