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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 12.

Example of the ambiguity implicit within our algorithm. Any density peak or nonmonotonic behavior of the field over scales smaller than our resolution ϵ will not be detected. Here we exhibit two distinct cases of a density field: in both, the four vertices at which we measure ﹩{\delta }_{{ij}}﹩ are “out” of the excursion region, but in the right panel, there is a maxima internal to the square. Our algorithm can never detect such small-scale features and will always select the left case in this example.

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