2001/04/02 by Jun'ichi Sato, Jun’ichi Sato, Masahiro Takada +2 · 37 citations
Physics and Astronomy · #Astronomy and Astrophysical Research #Galaxies: Formation, Evolution, Phenomena #Galaxy #Gaussian #Measure (data warehouse) #Minkowski space #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Scientific Research and Discoveries #Skewness #Weak gravitational lensing #astro-ph
paper · pdf · doi:10.1086/319838
published in The Astrophysical Journal 551(1), L5-L8 (IOP Publishing) · 4 pages, 3 figures, to appear in ApJ Letter
arxiv created 2001/04/02 · openalex publication_date 2001/04/10 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
We apply the morphological descriptions of a two-dimensional contour map, the so-called Minkowski functionals (the area fraction, circumference, and Euler characteristics), to the convergence field κ( θ ) of the large-scale structure reconstructed from the shear map produced by the ray-tracing simulations. Using the perturbation theory of structure formation, it has been suggested that, with respect to the threshold in the weakly nonlinear regime, the non-Gaussian features on the Minkowski functionals are induced by the three skewness parameters of κ that are sensitive to the density parameter of matter, Ω m . We show that, in the absence of noise due to the intrinsic ellipticities of source galaxies with which the perturbation theory results can be recovered, the accuracy of the Ω m determination is improved by ~20% using the Minkowski functionals compared with the conventional method of using the direct measure of skewness.