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http://hdl.handle.net/2248/6927
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DC Field | Value | Language |
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dc.contributor.author | Pravabati, C | - |
dc.contributor.author | Yogendran, K. P | - |
dc.contributor.author | Joby, P. K | - |
dc.contributor.author | Vidhya, G | - |
dc.contributor.author | Appleby, S | - |
dc.contributor.author | Park, C | - |
dc.date.accessioned | 2020-11-12T14:31:46Z | - |
dc.date.available | 2020-11-12T14:31:46Z | - |
dc.date.issued | 2017-12 | - |
dc.identifier.citation | Journal of Cosmology and Astroparticle Physics, Vol. 2017, No. 12, 23 | en_US |
dc.identifier.issn | 1475-7516 | - |
dc.identifier.uri | http://prints.iiap.res.in/handle/2248/6927 | - |
dc.description | Restricted Access © IOP Publishing https://doi.org/10.1088/1475-7516/2017/12/023 | en_US |
dc.description.abstract | We generalize the translation invariant tensor-valued Minkowski Functionals which are defined on two-dimensional flat space to the unit sphere. We apply them to level sets of random fields. The contours enclosing boundaries of level sets of random fields give a spatial distribution of random smooth closed curves. We outline a method to compute the tensor-valued Minkowski Functionals numerically for any random field on the sphere. Then we obtain analytic expressions for the ensemble expectation values of the matrix elements for isotropic Gaussian and Rayleigh fields. The results hold on flat as well as any curved space with affine connection. We elucidate the way in which the matrix elements encode information about the Gaussian nature and statistical isotropy (or departure from isotropy) of the field. Finally, we apply the method to maps of the Galactic foreground emissions from the 2015 PLANCK data and demonstrate their high level of statistical anisotropy and departure from Gaussianity. | en_US |
dc.language.iso | en | en_US |
dc.publisher | IOP Publishing | en_US |
dc.subject | CMBR theory | en_US |
dc.subject | Cosmological parameters from CMBR | en_US |
dc.title | Tensor Minkowski Functionals for random fields on the sphere | en_US |
dc.type | Article | en_US |
Appears in Collections: | IIAP Publications |
Files in This Item:
File | Description | Size | Format | |
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Tensor Minkowski Functionals for random fields on the sphere.pdf Restricted Access | Restricted Access | 1.04 MB | Adobe PDF | View/Open Request a copy |
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