Correlation Function

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Donald P Schneider - One of the best experts on this subject based on the ideXlab platform.

  • large scale anisotropic Correlation Function of sdss luminous red galaxies
    The Astrophysical Journal, 2008
    Co-Authors: Teppei Okumura, Takahiko Matsubara, Daniel J Eisenstein, Issha Kayo, Chiaki Hikage, Alexander S Szalay, Donald P Schneider
    Abstract:

    We study the large-scale anisotropic two-point Correlation Function using 46,760 luminous red galaxies at redshifts 0.16-0.47 from the Sloan Digital Sky Survey. We measure the Correlation Function as a Function of separations parallel and perpendicular to the line of sight in order to take account of anisotropy of the large-scale structure in redshift space. We find a slight signal of baryonic features in the anisotropic Correlation Function, i.e., a baryon ridge corresponding to a baryon acoustic peak in the spherically averaged Correlation Function, which has already been reported using the same sample. The baryon ridge has primarily a spherical structure with a known radius in comoving coordinates. It enables us to divide the redshift distortion effects into dynamical and geometrical components and provides further constraints on cosmological parameters, including the dark energy equation-of-state. With an assumption of a flat ? cosmology, we find the best-fit values of -->?m = 0.218?0.037+0.047 and -->?b = 0.047 ? 0.016 (68% CL) when we use the overall shape of the anisotropic Correlation Function of -->40 h?1 Mpc including a scale of baryon acoustic oscillations. When an additional assumption of -->?bh2 = 0.024 is adopted, we obtain -->?DE = 0.770?0.040+0.051 and -->w = ? 0.93?0.35+0.45. These constraints are estimated only from our data of the anisotropic Correlation Function, and they agree quite well with values both from the cosmic microwave background (CMB) anisotropies and from other complementary statistics using the LRG sample. With the CMB prior from the 3 year WMAP results, we give stronger constraints on those parameters.

  • large scale anisotropic Correlation Function of sdss luminous red galaxies
    arXiv: Astrophysics, 2007
    Co-Authors: Teppei Okumura, Takahiko Matsubara, Daniel J Eisenstein, Issha Kayo, Chiaki Hikage, Alexander S Szalay, Donald P Schneider
    Abstract:

    We study the large-scale anisotropic two-point Correlation Function using 46,760 luminous red galaxies at redshifts 0.16 -- 0.47 from the Sloan Digital Sky Survey. We measure the Correlation Function as a Function of separations parallel and perpendicular to the line-of-sight in order to take account of anisotropy of the large-scale structure in redshift space. We find a slight signal of baryonic features in the anisotropic Correlation Function, i.e., a ``baryon ridge'' which corresponds to a baryon acoustic peak in the spherically averaged Correlation Function which has already been reported using the same sample. The baryon ridge has primarily a spherical structure with a known radius in comoving coordinates. It enables us to divide the redshift distortion effects into dynamical and geometrical components and provides further constraints on cosmological parameters, including the dark energy equation-of-state. With an assumption of a flat $\Lambda$ cosmology, we find the best-fit values of $\Omega_{\rm m} = 0.218^{+0.047}_{-0.037}$ and $\Omega_{\rm b} = 0.047^{+0.016}_{-0.016}$ (68% C.L.) when we use the overall shape of the anisotropic Correlation Function of $40Correlation Function, and they agree quite well with values both from the cosmic microwave background (CMB) anisotropies and from other complementary statistics using the LRG sample. With the CMB prior from the 3 year WMAP results, we give stronger constraints on those parameters.

Chiaki Hikage - One of the best experts on this subject based on the ideXlab platform.

  • large scale anisotropic Correlation Function of sdss luminous red galaxies
    The Astrophysical Journal, 2008
    Co-Authors: Teppei Okumura, Takahiko Matsubara, Daniel J Eisenstein, Issha Kayo, Chiaki Hikage, Alexander S Szalay, Donald P Schneider
    Abstract:

    We study the large-scale anisotropic two-point Correlation Function using 46,760 luminous red galaxies at redshifts 0.16-0.47 from the Sloan Digital Sky Survey. We measure the Correlation Function as a Function of separations parallel and perpendicular to the line of sight in order to take account of anisotropy of the large-scale structure in redshift space. We find a slight signal of baryonic features in the anisotropic Correlation Function, i.e., a baryon ridge corresponding to a baryon acoustic peak in the spherically averaged Correlation Function, which has already been reported using the same sample. The baryon ridge has primarily a spherical structure with a known radius in comoving coordinates. It enables us to divide the redshift distortion effects into dynamical and geometrical components and provides further constraints on cosmological parameters, including the dark energy equation-of-state. With an assumption of a flat ? cosmology, we find the best-fit values of -->?m = 0.218?0.037+0.047 and -->?b = 0.047 ? 0.016 (68% CL) when we use the overall shape of the anisotropic Correlation Function of -->40 h?1 Mpc including a scale of baryon acoustic oscillations. When an additional assumption of -->?bh2 = 0.024 is adopted, we obtain -->?DE = 0.770?0.040+0.051 and -->w = ? 0.93?0.35+0.45. These constraints are estimated only from our data of the anisotropic Correlation Function, and they agree quite well with values both from the cosmic microwave background (CMB) anisotropies and from other complementary statistics using the LRG sample. With the CMB prior from the 3 year WMAP results, we give stronger constraints on those parameters.

  • large scale anisotropic Correlation Function of sdss luminous red galaxies
    arXiv: Astrophysics, 2007
    Co-Authors: Teppei Okumura, Takahiko Matsubara, Daniel J Eisenstein, Issha Kayo, Chiaki Hikage, Alexander S Szalay, Donald P Schneider
    Abstract:

    We study the large-scale anisotropic two-point Correlation Function using 46,760 luminous red galaxies at redshifts 0.16 -- 0.47 from the Sloan Digital Sky Survey. We measure the Correlation Function as a Function of separations parallel and perpendicular to the line-of-sight in order to take account of anisotropy of the large-scale structure in redshift space. We find a slight signal of baryonic features in the anisotropic Correlation Function, i.e., a ``baryon ridge'' which corresponds to a baryon acoustic peak in the spherically averaged Correlation Function which has already been reported using the same sample. The baryon ridge has primarily a spherical structure with a known radius in comoving coordinates. It enables us to divide the redshift distortion effects into dynamical and geometrical components and provides further constraints on cosmological parameters, including the dark energy equation-of-state. With an assumption of a flat $\Lambda$ cosmology, we find the best-fit values of $\Omega_{\rm m} = 0.218^{+0.047}_{-0.037}$ and $\Omega_{\rm b} = 0.047^{+0.016}_{-0.016}$ (68% C.L.) when we use the overall shape of the anisotropic Correlation Function of $40Correlation Function, and they agree quite well with values both from the cosmic microwave background (CMB) anisotropies and from other complementary statistics using the LRG sample. With the CMB prior from the 3 year WMAP results, we give stronger constraints on those parameters.

Teppei Okumura - One of the best experts on this subject based on the ideXlab platform.

  • large scale anisotropic Correlation Function of sdss luminous red galaxies
    The Astrophysical Journal, 2008
    Co-Authors: Teppei Okumura, Takahiko Matsubara, Daniel J Eisenstein, Issha Kayo, Chiaki Hikage, Alexander S Szalay, Donald P Schneider
    Abstract:

    We study the large-scale anisotropic two-point Correlation Function using 46,760 luminous red galaxies at redshifts 0.16-0.47 from the Sloan Digital Sky Survey. We measure the Correlation Function as a Function of separations parallel and perpendicular to the line of sight in order to take account of anisotropy of the large-scale structure in redshift space. We find a slight signal of baryonic features in the anisotropic Correlation Function, i.e., a baryon ridge corresponding to a baryon acoustic peak in the spherically averaged Correlation Function, which has already been reported using the same sample. The baryon ridge has primarily a spherical structure with a known radius in comoving coordinates. It enables us to divide the redshift distortion effects into dynamical and geometrical components and provides further constraints on cosmological parameters, including the dark energy equation-of-state. With an assumption of a flat ? cosmology, we find the best-fit values of -->?m = 0.218?0.037+0.047 and -->?b = 0.047 ? 0.016 (68% CL) when we use the overall shape of the anisotropic Correlation Function of -->40 h?1 Mpc including a scale of baryon acoustic oscillations. When an additional assumption of -->?bh2 = 0.024 is adopted, we obtain -->?DE = 0.770?0.040+0.051 and -->w = ? 0.93?0.35+0.45. These constraints are estimated only from our data of the anisotropic Correlation Function, and they agree quite well with values both from the cosmic microwave background (CMB) anisotropies and from other complementary statistics using the LRG sample. With the CMB prior from the 3 year WMAP results, we give stronger constraints on those parameters.

  • large scale anisotropic Correlation Function of sdss luminous red galaxies
    arXiv: Astrophysics, 2007
    Co-Authors: Teppei Okumura, Takahiko Matsubara, Daniel J Eisenstein, Issha Kayo, Chiaki Hikage, Alexander S Szalay, Donald P Schneider
    Abstract:

    We study the large-scale anisotropic two-point Correlation Function using 46,760 luminous red galaxies at redshifts 0.16 -- 0.47 from the Sloan Digital Sky Survey. We measure the Correlation Function as a Function of separations parallel and perpendicular to the line-of-sight in order to take account of anisotropy of the large-scale structure in redshift space. We find a slight signal of baryonic features in the anisotropic Correlation Function, i.e., a ``baryon ridge'' which corresponds to a baryon acoustic peak in the spherically averaged Correlation Function which has already been reported using the same sample. The baryon ridge has primarily a spherical structure with a known radius in comoving coordinates. It enables us to divide the redshift distortion effects into dynamical and geometrical components and provides further constraints on cosmological parameters, including the dark energy equation-of-state. With an assumption of a flat $\Lambda$ cosmology, we find the best-fit values of $\Omega_{\rm m} = 0.218^{+0.047}_{-0.037}$ and $\Omega_{\rm b} = 0.047^{+0.016}_{-0.016}$ (68% C.L.) when we use the overall shape of the anisotropic Correlation Function of $40Correlation Function, and they agree quite well with values both from the cosmic microwave background (CMB) anisotropies and from other complementary statistics using the LRG sample. With the CMB prior from the 3 year WMAP results, we give stronger constraints on those parameters.

Issha Kayo - One of the best experts on this subject based on the ideXlab platform.

  • large scale anisotropic Correlation Function of sdss luminous red galaxies
    The Astrophysical Journal, 2008
    Co-Authors: Teppei Okumura, Takahiko Matsubara, Daniel J Eisenstein, Issha Kayo, Chiaki Hikage, Alexander S Szalay, Donald P Schneider
    Abstract:

    We study the large-scale anisotropic two-point Correlation Function using 46,760 luminous red galaxies at redshifts 0.16-0.47 from the Sloan Digital Sky Survey. We measure the Correlation Function as a Function of separations parallel and perpendicular to the line of sight in order to take account of anisotropy of the large-scale structure in redshift space. We find a slight signal of baryonic features in the anisotropic Correlation Function, i.e., a baryon ridge corresponding to a baryon acoustic peak in the spherically averaged Correlation Function, which has already been reported using the same sample. The baryon ridge has primarily a spherical structure with a known radius in comoving coordinates. It enables us to divide the redshift distortion effects into dynamical and geometrical components and provides further constraints on cosmological parameters, including the dark energy equation-of-state. With an assumption of a flat ? cosmology, we find the best-fit values of -->?m = 0.218?0.037+0.047 and -->?b = 0.047 ? 0.016 (68% CL) when we use the overall shape of the anisotropic Correlation Function of -->40 h?1 Mpc including a scale of baryon acoustic oscillations. When an additional assumption of -->?bh2 = 0.024 is adopted, we obtain -->?DE = 0.770?0.040+0.051 and -->w = ? 0.93?0.35+0.45. These constraints are estimated only from our data of the anisotropic Correlation Function, and they agree quite well with values both from the cosmic microwave background (CMB) anisotropies and from other complementary statistics using the LRG sample. With the CMB prior from the 3 year WMAP results, we give stronger constraints on those parameters.

  • large scale anisotropic Correlation Function of sdss luminous red galaxies
    arXiv: Astrophysics, 2007
    Co-Authors: Teppei Okumura, Takahiko Matsubara, Daniel J Eisenstein, Issha Kayo, Chiaki Hikage, Alexander S Szalay, Donald P Schneider
    Abstract:

    We study the large-scale anisotropic two-point Correlation Function using 46,760 luminous red galaxies at redshifts 0.16 -- 0.47 from the Sloan Digital Sky Survey. We measure the Correlation Function as a Function of separations parallel and perpendicular to the line-of-sight in order to take account of anisotropy of the large-scale structure in redshift space. We find a slight signal of baryonic features in the anisotropic Correlation Function, i.e., a ``baryon ridge'' which corresponds to a baryon acoustic peak in the spherically averaged Correlation Function which has already been reported using the same sample. The baryon ridge has primarily a spherical structure with a known radius in comoving coordinates. It enables us to divide the redshift distortion effects into dynamical and geometrical components and provides further constraints on cosmological parameters, including the dark energy equation-of-state. With an assumption of a flat $\Lambda$ cosmology, we find the best-fit values of $\Omega_{\rm m} = 0.218^{+0.047}_{-0.037}$ and $\Omega_{\rm b} = 0.047^{+0.016}_{-0.016}$ (68% C.L.) when we use the overall shape of the anisotropic Correlation Function of $40Correlation Function, and they agree quite well with values both from the cosmic microwave background (CMB) anisotropies and from other complementary statistics using the LRG sample. With the CMB prior from the 3 year WMAP results, we give stronger constraints on those parameters.

  • the luminosity and color dependence of the galaxy Correlation Function
    arXiv: Astrophysics, 2004
    Co-Authors: Idit Zehavi, David H Weinberg, Zheng Zheng, Andreas A Berlind, J Frieman, Roman Scoccimarro, Ravi K Sheth, Michael R Blanton, M A Strauss, Issha Kayo
    Abstract:

    We study the luminosity and color dependence of the galaxy 2-point Correlation Function in the Sloan Digital Sky Survey, starting from a sample of 200,000 galaxies over 2500 deg^2. We concentrate on the projected Correlation Function w(r_p), which is directly related to the real space \xi(r). The amplitude of w(r_p) grows continuously with luminosity, rising more steeply above the characteristic luminosity L_*. Redder galaxies exhibit a higher amplitude and steeper Correlation Function at all luminosities. The Correlation amplitude of blue galaxies increases continuously with luminosity, but the luminosity dependence for red galaxies is less regular, with bright red galaxies more strongly clustered at large scales and faint red galaxies more strongly clustered at small scales. We interpret these results using halo occupation distribution (HOD) models assuming concordance cosmological parameters. For most samples, an HOD model with two adjustable parameters fits the w(r_p) data better than a power-law, explaining inflections at r_p ~ 1-3 Mpc/h as the transition between the 1-halo and 2-halo regimes of \xi(r). The implied minimum mass for a halo hosting a central galaxy above a luminosity threshold L grows as M_min ~ L at low luminosities and more steeply above L_*. The mass at which an average halo has one satellite galaxy brighter than L is M_1 ~ 23 M_min(L). These results imply a conditional luminosity Function (at fixed halo mass) in which central galaxies lie far above a Schechter Function extrapolation of the satellite population. HOD models nicely explain the joint luminosity-color dependence of w(r_p) in terms of the color fractions of central and satellite populations as a Function of halo mass. The inferred HOD properties are in good qualitative agreement with theoretical predictions.

Alexander S Szalay - One of the best experts on this subject based on the ideXlab platform.

  • large scale anisotropic Correlation Function of sdss luminous red galaxies
    The Astrophysical Journal, 2008
    Co-Authors: Teppei Okumura, Takahiko Matsubara, Daniel J Eisenstein, Issha Kayo, Chiaki Hikage, Alexander S Szalay, Donald P Schneider
    Abstract:

    We study the large-scale anisotropic two-point Correlation Function using 46,760 luminous red galaxies at redshifts 0.16-0.47 from the Sloan Digital Sky Survey. We measure the Correlation Function as a Function of separations parallel and perpendicular to the line of sight in order to take account of anisotropy of the large-scale structure in redshift space. We find a slight signal of baryonic features in the anisotropic Correlation Function, i.e., a baryon ridge corresponding to a baryon acoustic peak in the spherically averaged Correlation Function, which has already been reported using the same sample. The baryon ridge has primarily a spherical structure with a known radius in comoving coordinates. It enables us to divide the redshift distortion effects into dynamical and geometrical components and provides further constraints on cosmological parameters, including the dark energy equation-of-state. With an assumption of a flat ? cosmology, we find the best-fit values of -->?m = 0.218?0.037+0.047 and -->?b = 0.047 ? 0.016 (68% CL) when we use the overall shape of the anisotropic Correlation Function of -->40 h?1 Mpc including a scale of baryon acoustic oscillations. When an additional assumption of -->?bh2 = 0.024 is adopted, we obtain -->?DE = 0.770?0.040+0.051 and -->w = ? 0.93?0.35+0.45. These constraints are estimated only from our data of the anisotropic Correlation Function, and they agree quite well with values both from the cosmic microwave background (CMB) anisotropies and from other complementary statistics using the LRG sample. With the CMB prior from the 3 year WMAP results, we give stronger constraints on those parameters.

  • large scale anisotropic Correlation Function of sdss luminous red galaxies
    arXiv: Astrophysics, 2007
    Co-Authors: Teppei Okumura, Takahiko Matsubara, Daniel J Eisenstein, Issha Kayo, Chiaki Hikage, Alexander S Szalay, Donald P Schneider
    Abstract:

    We study the large-scale anisotropic two-point Correlation Function using 46,760 luminous red galaxies at redshifts 0.16 -- 0.47 from the Sloan Digital Sky Survey. We measure the Correlation Function as a Function of separations parallel and perpendicular to the line-of-sight in order to take account of anisotropy of the large-scale structure in redshift space. We find a slight signal of baryonic features in the anisotropic Correlation Function, i.e., a ``baryon ridge'' which corresponds to a baryon acoustic peak in the spherically averaged Correlation Function which has already been reported using the same sample. The baryon ridge has primarily a spherical structure with a known radius in comoving coordinates. It enables us to divide the redshift distortion effects into dynamical and geometrical components and provides further constraints on cosmological parameters, including the dark energy equation-of-state. With an assumption of a flat $\Lambda$ cosmology, we find the best-fit values of $\Omega_{\rm m} = 0.218^{+0.047}_{-0.037}$ and $\Omega_{\rm b} = 0.047^{+0.016}_{-0.016}$ (68% C.L.) when we use the overall shape of the anisotropic Correlation Function of $40Correlation Function, and they agree quite well with values both from the cosmic microwave background (CMB) anisotropies and from other complementary statistics using the LRG sample. With the CMB prior from the 3 year WMAP results, we give stronger constraints on those parameters.