Data compression of measurements of peculiar velocities of supernovae type Ia

Irsic, Vid; Slosar, Anze

doi:10.1103/PHYSREVD.83.123501

Title: Data compression of measurements of peculiar velocities of supernovae type Ia

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Abstract

We study the compression of information present in the correlated perturbations to the luminosity distance in the low-redshift (z<0.1) supernovae Ia due to peculiar velocities of these supernovae. We demonstrate that the naieve compression into angular velocity power spectrum does not work efficiently, due to thickness of the spherical shell over which the supernovae are measured. Instead, we show that measurements can be compressed into measurements of f{sup 2}P(k), where f is the logarithmic rate of growth of linear perturbations and P(k) is their power spectrum. We develop an optimal quadratic estimator and show that it recovers all information for {Lambda}CDM models for surveys of N{approx}10,000 or more supernovae. We explicitly demonstrate robustness with respect to the assumed fiducial model and the number of power spectrum bins. Using mock catalogues of supernovae Ia we estimate that future low-redshift surveys will be able to probe {sigma}{sub 8} to 6% accuracy with 10 000 supernovae Ia.

Authors:

Irsic, Vid ^[1]; Slosar, Anze ^[2]

Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000 Ljubljana (Slovenia)
Brookhaven National Laboratory, Upton New York 11973 (United States)

Publication Date:: Wed Jun 15 00:00:00 EDT 2011

OSTI Identifier:: 21502711

Resource Type:: Journal Article

Journal Name:: Physical Review. D, Particles Fields

Additional Journal Information:: Journal Volume: 83; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.83.123501; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ACCURACY; ANGULAR VELOCITY; COMPRESSION; DISTURBANCES; LUMINOSITY; PERTURBATION THEORY; RED SHIFT; SPECTRA; SPHERICAL CONFIGURATION; SUPERNOVAE; THICKNESS; BINARY STARS; CONFIGURATION; DIMENSIONS; ERUPTIVE VARIABLE STARS; OPTICAL PROPERTIES; PHYSICAL PROPERTIES; STARS; VARIABLE STARS; VELOCITY

Citation Formats


                    Irsic, Vid, and Slosar, Anze. Data compression of measurements of peculiar velocities of supernovae type Ia.  United States: N. p., 2011. 
        Web.  doi:10.1103/PHYSREVD.83.123501.

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                    Irsic, Vid, & Slosar, Anze. Data compression of measurements of peculiar velocities of supernovae type Ia.  United States.  https://doi.org/10.1103/PHYSREVD.83.123501

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                    Irsic, Vid, and Slosar, Anze. 2011.  
        "Data compression of measurements of peculiar velocities of supernovae type Ia".  United States.  https://doi.org/10.1103/PHYSREVD.83.123501.

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@article{osti_21502711,

  title        = {Data compression of measurements of peculiar velocities of supernovae type Ia},

  author       = {Irsic, Vid and Slosar, Anze},

  abstractNote = {We study the compression of information present in the correlated perturbations to the luminosity distance in the low-redshift (z<0.1) supernovae Ia due to peculiar velocities of these supernovae. We demonstrate that the naieve compression into angular velocity power spectrum does not work efficiently, due to thickness of the spherical shell over which the supernovae are measured. Instead, we show that measurements can be compressed into measurements of f{sup 2}P(k), where f is the logarithmic rate of growth of linear perturbations and P(k) is their power spectrum. We develop an optimal quadratic estimator and show that it recovers all information for {Lambda}CDM models for surveys of N{approx}10,000 or more supernovae. We explicitly demonstrate robustness with respect to the assumed fiducial model and the number of power spectrum bins. Using mock catalogues of supernovae Ia we estimate that future low-redshift surveys will be able to probe {sigma}{sub 8} to 6% accuracy with 10 000 supernovae Ia.},

  doi          = {10.1103/PHYSREVD.83.123501},

  url          = {https://www.osti.gov/biblio/21502711},
  journal      = {Physical Review. D, Particles Fields},

  issn         = {0556-2821},

  number       = 12,

  volume       = 83,

  place        = {United States},

  year         = {Wed Jun 15 00:00:00 EDT 2011},

  month        = {Wed Jun 15 00:00:00 EDT 2011}

}

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