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Minkowski Tensors in Two Dimensions: Probing the Morphology and Isotropy of the Matter and Galaxy Density Fields

  • Authors: Stephen Appleby, Pravabati Chingangbam, Changbom Park, Sungwook E. Hong, Juhan Kim, and Vidhya Ganesan

2018 The Astrophysical Journal 858 87.

  • Provider: AAS Journals

Caption: Figure 7.

Top panel: matrix components of the Minkowski tensor ﹩{({W}_{2}^{1,1})}_{{ij}}﹩; ﹩(i,j)=(1,1)﹩ (blue), (1, 2) (yellow), and (2, 2) (red). The solid black curve is the theoretical prediction for W1/π, which should match the diagonal components. Bottom panel: ﹩(i,j)=(1,1)﹩ (blue) and (2, 2) (red) components of the fractional residuals defined in Equation (17). These quantities are consistent with zero for all thresholds probed.

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