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Browsing by Author "Yogendran, K. P"

Browsing by Author "Yogendran, K. P"

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  • Geometrical meaning of statistical isotropy of smooth random fields in two dimensions 
    Pravabati, C; Goyal, Priya; Yogendran, K. P; Appleby, Stephen (American Physical Society, 2021-12)
    We revisit the geometrical meaning of statistical isotropy that is manifest in excursion sets of smooth random fields in two dimensions. Using the contour Minkowski tensor, W1, as our basic tool we first examine geometrical ...
  • Hot and cold spot counts as probes of non-gaussianity in the cosmic microwave background 
    Pravabati, C; Park, C; Yogendran, K. P; van de Weygaert, R (IOP Publishing, 2012-08-20)
    We introduce the numbers of hot and cold spots, n/subh/ and n/subc/, of excursion sets of the cosmic microwave background (CMB) temperature anisotropy maps as statistical observables that can discriminate different ...
  • Minkowski tensors in three dimensions: probing the anisotropy generated by redshift space distortion 
    Appleby, S; Pravabati, C; Park, C; Yogendran, K. P; Joby, P. K (IOP Publishing, 2018-08)
    We apply the Minkowski tensor statistics to three-dimensional Gaussian random fields. Minkowski tensors contain information regarding the orientation and shape of excursion sets that is not present in the scalar Minkowski ...
  • On Minkowski Functionals of CMB polarization 
    Pravabati, C; Vidhya, G; Yogendran, K. P; Park, C (Elsevier B.V, 2017-08)
    CMB polarization data is usually analyzed using Eand Bmodes because they are scalar quantities under rotations along the lines of sight and have distinct physical origins. We explore the possibility of using the Stokes ...
  • Primordial non-Gaussian signatures in CMB polarization 
    Vidhya, G; Pravabati, C; Yogendran, K. P; Park, C (IOP Publishing, 2015-02)
    We study the signatures of local type primordial non-Gaussianity, parametrized by fNL, of scalar perturbations in CMB polarization using the probability distribution functions, Minkowski Functionals and Betti numbers. We ...
  • Tensor Minkowski Functionals for random fields on the sphere 
    Pravabati, C; Yogendran, K. P; Joby, P. K; Vidhya, G; Appleby, S; Park, C (IOP Publishing, 2017-12)
    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 ...

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