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Browsing by Author "Park, C"

Browsing by Author "Park, C"

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  • Betti Numbers of Gaussian fields 
    Park, C; Pranav, P; Pravabati, C; Weygaert, R; Jones, B; Vegter, G; Kim, I; Hidding, J; Hellwing, W. A (The Korean Astronomical Society, 2013-06)
    We present the relation between the genus in cosmology and the Betti numbers for excursion sets of three- and two-dimensional smooth Gaussian random fields, and numerically investigate the Betti numbers as a function of ...
  • Ensemble Average of Three-dimensional Minkowski Tensors of a Gaussian Random Field in Redshift Space 
    Appleby, S; Joby, P. K; Pravabati, C; Park, C (IOP Publishing, 2019-11-20)
    We present the ensemble expectation values for the translation-invariant, rank-2 Minkowski tensors in three dimensions, for a linearly redshift-space-distorted Gaussian random field. The Minkowski tensors W1 0,2, W2 0,2 ...
  • 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 ...
  • Minkowski Tensors in Two Dimensions: Probing the Morphology and Isotropy of the Matter and Galaxy Density Fields 
    Appleby, S; Pravabati, C; Park, C; Hong, S. E; Kim, J; Vidhya, G (IOP Publishing, 2018-05-10)
    We apply the Minkowski tensor statistics to two-dimensional slices of the three-dimensional matter density field. The Minkowski tensors are a set of functions that are sensitive to directionally dependent signals in the ...
  • A novel probe of ionized bubble shape and size statistics of the epoch of reionization using the contour Minkowski tensor 
    Akanksha, K; Pravabati, C; Appleby, S; Park, C (IOP Publishing, 2018-10)
    We employ the rank-2 contour Minkowski tensor in two dimensions to probe length and time scales of ionized bubbles during the epoch of reionization. We demonstrate that ionized bubbles are not circular, and hence not ...
  • 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 ...
  • Residual foreground contamination in the WMAP data 
    Pravabati, C; Park, C (IOP Publishing, 2014)
    We have studied whether there is any residual foreground contamination in the foreground reduced WMAP-7 data for the differential assemblies (DAs) Q, V and W. We have calculated the correlation between the foreground map, ...
  • Residual foreground contamination in the WMAP data and bias in non-Gaussianity estimation 
    Pravabati, C; Park, C (IOP Publishing, 2013-02)
    We analyze whether there is any residual foreground contamination in the cleaned WMAP 7 years data for the differential assemblies, Q, V and W. We calculate the correlation between the foreground map, from which long ...
  • 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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