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We derive an exact expression for the correlation function in redshift shells including all the relativistic contributions. This expression, which does not rely on the distant-observer or flat-sky approximation, is valid at all scales and…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-04 Vittorio Tansella , Camille Bonvin , Ruth Durrer , Basundhara Ghosh , Elena Sellentin

Measuring the evolution in the clustering of galaxies over a large redshift range is a challenging problem. For a two-dimensional galaxy catalog, however, we can measure the galaxy-galaxy angular correlation function which provides…

Astrophysics · Physics 2009-10-31 Robert J. Brunner , Andrew J. Connolly , Alex S. Szalay

Galaxy redshift surveys are subject to incompleteness and inhomogeneous sampling due to the various constraints inherent to spectroscopic observations. This can introduce systematic errors on the summary statistics of interest, which need…

The observed two-point correlation functions of galaxies in redshift space become anisotropic due to the geometry of the universe as well as due to the presence of the peculiar velocity field. On the basis of linear perturbation theory, we…

Astrophysics · Physics 2009-10-30 Takahiro T. Nakamura , Takahiko Matsubara , Yasushi Suto

We develop a cosmological parameter estimation code for (tomographic) angular power spectra analyses of galaxy number counts, for which we include, for the first time, redshift-space distortions (RSD) in the Limber approximation. This…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-15 Konstantinos Tanidis , Stefano Camera

We present a new method to estimate redshift distributions and galaxy-dark matter bias parameters using correlation functions in a fully data driven and self-consistent manner. Unlike other machine learning, template, or correlation…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-09 Ben Hoyle , Markus Michael Rau

Modern galaxy surveys focus on the galaxy power spectrum or 2-point correlation function to test and constrain cosmological models. Additional information comes from higher-order N-point functions, but their analysis is challenging. A…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Marcel Schmittfull , Azadeh Moradinezhad Dizgah

We developed a modification to the calculation of the two-point correlation function commonly used in the analysis of large scale structure in cosmology. An estimator of the two-point correlation function is constructed by contrasting the…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-20 Regina Demina , Sanha Cheong , Segev BenZvi , Otto Hindrichs

We present constraints on the evolution of large-scale structure from a catalog of 710,000 galaxies with I_AB <= 24 derived from a KPNO 4m CCD imaging survey of a contiguous 4 deg x 4 deg region. The advantage of using large contiguous…

Astrophysics · Physics 2009-10-30 Marc Postman , Tod R. Lauer , Istvan Szapudi , William Oegerle

We study forecasts for the accuracy of the determination of cosmological parameters from future large scale photometric surveys obtained using the full shape of the 2-point galaxy angular correlation function. The effects of linear…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 F. Sobreira , F. de Simoni , R. Rosenfeld , L. A. N. da Costa , M. A. G. Maia , M. Makler

We propose cosmological redshift-space distortion of correlation functions of galaxies and quasars as a probe of both the density parameter $\Omega_0$ and the cosmological constant $\lambda_0$. In particular, we show that redshift-space…

Astrophysics · Physics 2009-10-28 Takahiko Matsubara , Yasushi Suto

We propose the use of angular fluctuations in the galaxy redshift field as a new way to extract cosmological information in the Universe. This new probe $\delta z (\hat{n})$ consists on the statistics of sky maps built by projecting…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-07 Carlos Hernandez-Monteagudo , Jonas Chaves-Montero , Raul E. Angulo

We estimate the sensitivity of future galaxy surveys to cosmological parameters, using the redshift dependent angular power spectra of galaxy number counts, $C_\ell(z_1,z_2)$, calculated with all relativistic corrections at first order in…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-04 Enea Di Dio , Francesco Montanari , Ruth Durrer , Julien Lesgourgues

Near future cosmology will see the advent of wide area photometric galaxy surveys, like the Dark Energy Survey (DES), that extent to high redshifts (z ~ 1 - 2) but with poor radial distance resolution. In such cases splitting the data into…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Martin Crocce , Anna Cabre , Enrique Gaztañaga

Cosmic shear is a powerful method to constrain cosmology, provided that any systematic effects are under control. The intrinsic alignment of galaxies is expected to severely bias parameter estimates if not taken into account. We explore the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 B. Joachimi , S. L. Bridle

When applied to deep photometric catalogs, the two-point angular correlation function, w(theta), is a sensitive probe of the evolution of galaxy clustering properties. Here we present measurements of w(theta) as a function of I_AB magnitude…

We present a novel cosmological analysis based on the angular correlation dimension $D_2$ curve, a cumulative statistic derived from the two-point correlation function. Unlike traditional 3D approaches, angular $D_2$ is inherently less…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-28 Xiaoyun Shao , Rodrigo Gonçalves , Carlos A. P. Bengaly , Gabriela C. Carvalho , Jailson Alcaniz

Measuring the evolution in the clustering of galaxies over a large redshift range is a challenging problem. We have developed a new technique which uses photometric redshifts to measure the angular correlation function in redshift shells.…

Astrophysics · Physics 2007-05-23 Robert J. Brunner , Alex S. Szalay , Andrew J. Connolly

One of the main problems of observational cosmology is to determine the range in which a reliable measurement of galaxy correlations is possible. This corresponds to determine the shape of the correlation function, its possible evolution…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-18 Francesco Sylos Labini , Daniil Tekhanovich , Yurij V. Baryshev

Galaxy redshift surveys encode a wealth of information generated by nonlinear gravitational evolution, galaxy bias, and redshift-space distortions, only part of which is accessible through standard two-point statistics. Motivated by the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-29 Davide Bianchi
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