Correlating Fourier phase information with real-space higher order statistics

Дата и время публикации : 2013-11-20T13:48:24Z

Авторы публикации и институты :
H. I. Modest
C. Räth
A. J. Banday
K. M. Górski
G. E. Morfill

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 6 pages plus 1 supplemental page, 4 figures, submitted
Первичная категория: astro-ph.CO

Все категории : astro-ph.CO,

Краткий обзор статьи: We establish for the first time heuristic correlations between harmonic space phase information and higher order statistics. Using the spherical full-sky maps of the cosmic microwave background as an example we demonstrate that known phase correlations at large spatial scales can gradually be diminished when subtracting a suitable best-fit (Bianchi-) template map of given strength. The weaker phase correlations lead in turn to a vanishing signature of anisotropy when measuring the Minkowski functionals and scaling indices in real-space and comparing them with surrogate maps being free of phase correlations. Those investigations can open a new road to a better understanding of signatures of non-Gaussianities in complex spatial structures by elucidating the meaning of Fourier phase correlations and their influence on higher order statistics.

Category: Physics