scholarly journals Modelling the large-scale redshift-space 3-point correlation function of galaxies

2017 ◽  
Vol 469 (2) ◽  
pp. 2059-2076 ◽  
Author(s):  
Zachary Slepian ◽  
Daniel J. Eisenstein
Keyword(s):  
Correlation Function ◽  
Large Scale ◽  
Point Correlation ◽  
Point Correlation Function

scholarly journals The Anglo-Australian Redshift Survey

1983 ◽  
Vol 104 ◽  
pp. 175-175
Author(s):  
J. Bean ◽  
G. Efstathiou ◽  
R. S. Ellis ◽  
B. A. Peterson ◽  
T. Shanks ◽  
...  
Keyword(s):  
Correlation Function ◽  
Luminosity Function ◽  
Large Scale ◽  
Peculiar Velocities ◽  
Point Correlation ◽  
Point Correlation Function ◽  
Redshift Survey ◽  
Density Inhomogeneities ◽  
The Universe

The aim of the survey is to sample a relatively large, randomly chosen volume of the Universe in order to study the large-scale distribution of galaxies using the two-point correlation function, the peculiar velocities between galaxy pairs and to provide an estimate of the galaxian luminosity function that is unaffected by density inhomogeneities and Virgo infall.

scholarly journals The large-scale three-point correlation function of the SDSS BOSS DR12 CMASS galaxies

2017 ◽  
Vol 468 (1) ◽  
pp. 1070-1083 ◽  
Author(s):  
Zachary Slepian ◽  
Daniel J. Eisenstein ◽  
Florian Beutler ◽  
Chia-Hsun Chuang ◽  
Antonio J. Cuesta ◽  
...  
Keyword(s):  
Correlation Function ◽  
Large Scale ◽  
Point Correlation ◽  
Point Correlation Function

scholarly journals Detection of baryon acoustic oscillation features in the large-scale three-point correlation function of SDSS BOSS DR12 CMASS galaxies

2017 ◽  
Vol 469 (2) ◽  
pp. 1738-1751 ◽  
Author(s):  
Zachary Slepian ◽  
Daniel J. Eisenstein ◽  
Joel R. Brownstein ◽  
Chia-Hsun Chuang ◽  
Héctor Gil-Marín ◽  
...  
Keyword(s):  
Correlation Function ◽  
Large Scale ◽  
Acoustic Oscillation ◽  
Baryon Acoustic Oscillation ◽  
Point Correlation ◽  
Point Correlation Function

scholarly journals Photometric Calibration and Large-Scale Clustering in the Universe

1994 ◽  
Vol 161 ◽  
pp. 295-300
Author(s):  
R. Fong ◽  
N. Metcalfe ◽  
T. Shanks
Keyword(s):  
Correlation Function ◽  
Large Scale ◽  
Three Dimensional ◽  
High Signal ◽  
Galaxy Surveys ◽  
Photometric Calibration ◽  
Peculiar Velocities ◽  
Redshift Surveys ◽  
Point Correlation ◽  
Point Correlation Function

The machine measurements of UK Schmidt plates have produced two very large galaxy surveys, the APM survey and the Edinburgh-Durham Southern Galaxy Catalogue (or COSMOS survey). These surveys can constrain the power on large scales of ≳ 10h −1 Mpc better than current redshift surveys, simply because such large numbers, ≳ 2 million galaxies to bJ ≤ 20.5, provide very high signal/noise in the estimated two-point correlation function for galaxies. Furthermore, the results for the three-dimensional galaxy two point correlation function, ξ(r), obtained from the measured projected function, ω(θ), should be quite robust for reasonable model number-redshift distributions, N(z), for these magnitude limits (see, e.g., Roche et al. 1993). Another clear advantage of measuring ω(θ) is that it is unaffected by the peculiar velocities of the galaxies, whereas they have an important effect on the corresponding ξ,(s) using galaxy redshift surveys.

scholarly journals UV background fluctuations and three-point correlations in the large-scale clustering of the Lyman α forest

2019 ◽  
Vol 487 (4) ◽  
pp. 5346-5362 ◽  
Author(s):  
Suk Sien Tie ◽  
David H Weinberg ◽  
Paul Martini ◽  
Wei Zhu ◽  
Sébastien Peirani ◽  
...  
Keyword(s):  
Correlation Function ◽  
Large Scale ◽  
Signal To Noise Ratio ◽  
Mass Density ◽  
Three Dimensional ◽  
Mean Free Path ◽  
Density Fluctuations ◽  
Data Sets ◽  
Point Correlation ◽  
Point Correlation Function

ABSTRACT Using the Lyman α (Lyα) Mass Association Scheme, we make theoretical predictions for the three-dimensional three-point correlation function (3PCF) of the Lyα forest at redshift z = 2.3. We bootstrap results from the (100 h−1 Mpc)3 Horizon hydrodynamic simulation to a (1 h−1 Gpc)3N-body simulation, considering both a uniform ultraviolet background (UVB) and a fluctuating UVB sourced by quasars with a comoving nq ≈ 10−5h3 Mpc−3 placed either in massive haloes or randomly. On scales of 10–30 h−1 Mpc, the flux 3PCF displays hierarchical scaling with the square of the two-point correlation function (2PCF), but with an unusual value of Q ≡ ζ123/(ξ12ξ13 + ξ12ξ23 + ξ13ξ23) ≈ −4.5 that reflects the low bias of the Lyα forest and the anticorrelation between mass density and transmitted flux. For halo-based quasars and an ionizing photon mean free path of λ = 300 h−1 Mpc comoving, UVB fluctuations moderately depress the 2PCF and 3PCF, with cancelling effects on Q. For λ = 100 or 50 h−1 Mpc, UVB fluctuations substantially boost the 2PCF and 3PCF on large scales, shifting the hierarchical ratio to Q ≈ −3. We scale our simulation results to derive rough estimate of the detectability of the 3PCF in current and future observational data sets for the redshift range z = 2.1–2.6. At r = 10 and 20 h−1 Mpc, we predict a signal-to-noise ratio (SNR) of ∼9 and ∼7, respectively, for both Baryon Oscillation Spectroscopic Survey (BOSS) and extended BOSS (eBOSS), and ∼37 and ∼25 for Dark Energy Spectroscopic Instrument (DESI). At r = 40 h−1 Mpc the predicted SNR is lower by a factor of ∼3–5. Measuring the flux 3PCF would provide a novel test of the conventional paradigm of the Lyα forest and help separate the contributions of UVB fluctuations and density fluctuations to Lyα forest clustering, thereby solidifying its foundation as a tool of precision cosmology.

CHAOTIC INFLATIONARY UNIVERSE AND THE ANISOTROPY OF THE LARGE-SCALE STRUCTURE

1990 ◽  
Vol 05 (13) ◽  
pp. 2625-2646 ◽  
Author(s):  
G. V. CHIBISOV ◽  
YU. V. SHTANOV
Keyword(s):  
Correlation Function ◽  
Large Scale ◽  
Large Scale Structure ◽  
Expected Value ◽  
Scale Structure ◽  
Inflationary Universe ◽  
Point Correlation ◽  
Point Correlation Function ◽  
Inflation Scenario ◽  
Chaotic Inflation

In frames of the chaotic inflation scenario the influence of the inhomogeneity of the inflationary universe on the primordial fluctuations spectrum is investigated. The phenomenon of the anisotropy of the observed large-scale structure is predicted. In particular this means that the two-point correlation function ξ(x) is anisotropic. An expected value of the anisotropy is about 10%. The observation of the anisotropy predicted could serve as confirmation to the chaotic inflation scenario.

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