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Minkowski functionals for composite smooth random fields

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dc.contributor.author Pravabati, C
dc.contributor.author Fazlu, Rahman
dc.date.accessioned 2024-06-14T04:53:40Z
dc.date.available 2024-06-14T04:53:40Z
dc.date.issued 2024-04-15
dc.identifier.citation Physical Review D, Vol. 109, No. 8, 083530 en_US
dc.identifier.issn 2470-0029
dc.identifier.uri http://hdl.handle.net/2248/8472
dc.description Open Access en_US
dc.description.abstract Minkowski functionals quantify the morphology of smooth random fields. They are widely used to probe statistical properties of cosmological fields. Analytic formulas for ensemble expectations of Minkowski functionals are well known for Gaussian and mildly non-Gaussian fields. In this paper, we extend the formulas to composite fields which are sums of two fields and explicitly derive the expressions for the sum of uncorrelated mildly non-Gaussian and Gaussian fields. These formulas are applicable to observed data which is usually a sum of the true signal and one or more secondary fields that can be either noise, or some residual contaminating signal. Our formulas provide explicit quantification of the effect of the secondary field on the morphology and statistical nature of the true signal. As examples, we apply the formulas to determine how the presence of Gaussian noise can bias the morphological properties and statistical nature of Gaussian and non-Gaussian cosmic microwave background temperature maps. en_US
dc.language.iso en en_US
dc.publisher American Physical Society en_US
dc.relation.uri https://doi.org/10.1103/PhysRevD.109.083530
dc.rights © 2024 American Physical Society
dc.title Minkowski functionals for composite smooth random fields en_US
dc.type Article en_US


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