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The observable Universe is described by a collection of equal mass galaxies linked into a common unit by their mutual gravitational interaction. The partition function of this system is cast in terms of Ising model spin variables and maps…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Pérez-Mercader , T. Goldman , D. Hochberg , R. Laflamme

Numerical simulations of variants of the CDM~model with different cosmological parameters are used to compare statistical measures such as mass spectra, merger processes, and autocorrelation functions, for different models with relevant…

Astrophysics · Physics 2007-05-23 Alexander Knebe

Aims. We aim to perform consistent comparisons between observations and simulations on the mass dependence of the galaxy major merger fraction at low redshift over an unprecedentedly wide range of stellar masses (10^9 to 10^12 solar…

Astrophysics of Galaxies · Physics 2021-01-04 L. Wang , W. J. Pearson , V. Rodriguez-Gomez

We formulate the concept of non-linear and stochastic galaxy biasing in the framework of halo occupation statistics. Using two-point statistics in projection, we define the galaxy bias function, b_g(r_p), and the galaxy-dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Marcello Cacciato , Ofer Lahav , Frank C. van den Bosch , Henk Hoekstra , Avishai Dekel

We study the ability of COBE-normalized CDM models to reproduce observed properties of the distribution of galaxies and clusters using N-body numerical simulations. We analyze the galaxy-galaxy and cluster-galaxy two-point correlation…

Astrophysics · Physics 2009-10-30 M. E. Merchan , M. G. Abadi , D. G. Lambas , C. A. Valotto

We use high-resolution dissipationless simulations of the concordance flat LCDM model to make predictions for the galaxy--mass (GM) correlations and compare them to the recent SDSS weak lensing measurements.We use a simple observationally…

Astrophysics · Physics 2011-05-12 Argyro Tasitsiomi , Andrey V. Kravtsov , Risa H. Wechsler , Joel R. Primack

Observables such as the luminosity function of galaxies, \Phi(M), the projected clustering of galaxies, w_p(r_p), and the galaxy-galaxy lensing signal, \Delta\Sigma, are often measured from galaxy redshift surveys assuming a fiducial…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Surhud More

Galaxy evolution is commonly described through the time evolution of observational statistics such as luminosity functions and stellar mass functions. However, these quantities are projections of an underlying multivariate galaxy state…

Astrophysics of Galaxies · Physics 2026-05-01 Tsutomu T. Takeuchi

The combination of galaxy-galaxy lensing and galaxy clustering data has the potential to simultaneously constrain both the cosmological and galaxy formation models. In this paper we perform a comprehensive exploration of these signals and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Laura Marian , Robert E. Smith , Raul E. Angulo

Within the applications of spatial point processes, it is increasingly becoming common that events are labeled by marks, prompting an exploration beyond the spatial distribution of events by incorporating the marks in the undertaken…

Methodology · Statistics 2023-09-06 Matthias Eckardt , Mehdi Moradi

The clustering amplitude of galaxies depends on their intrinsic luminosity. We compare the properties of publicly available galaxy formation models with clustering measurements from the two-degree field galaxy redshift survey. The model…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Han Seek Kim , C. M. Baugh , S. Cole , C. S. Frenk , A. J. Benson

Knowledge of the scatter in the mass-observable relation is a key ingredient for a cosmological analysis based on galaxy clusters in a photometric survey. In this paper we aim to quantify the capability of the correlation function of galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-15 Julia Campa , Brenna Flaugher , Juan Estrada

The clustering of matter on cosmological scales is an essential probe for studying the physical origin and composition of our Universe. To date, most of the direct studies have focused on shear-shear weak lensing correlations, but it is…

Cosmology and Nongalactic Astrophysics · Physics 2010-07-26 Tobias Baldauf , Robert E. Smith , Uros Seljak , Rachel Mandelbaum

We introduce a family of local inhomogeneous mark-weighted summary statistics, of order two and higher, for general marked point processes. Depending on how the involved weight function is specified, these summary statistics capture…

Methodology · Statistics 2024-03-13 Nicoletta D'Angelo , Giada Adelfio , Jorge Mateu , Ottmar Cronie

Traditional analysis of marked spatial point processes often relies on global summary statistics, which tend to obscure local spatial heterogeneity by averaging dependencies across the entire observation window. To overcome this limitation,…

Methodology · Statistics 2026-05-13 Clemens Baldzuhn , Matthias Eckardt

We investigate whether neighbor-density-weighted marked correlation functions (MCFs) can extract cosmological information beyond the standard redshift-space two-point correlation function (2PCF). Using the Kun suite of 129 $w_0w_a$CDM$+\sum…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-25 Xu Xiao , Xiao-Dong Li , Yiqi Huang , Le Zhang

We measure the projected 2-point correlation function of galaxies in the 180 deg$^2$ equatorial regions of the GAMA II survey, for four different redshift slices between z = 0.0 and z=0.5. To do this we further develop the Cole (2011)…

We use the two-point correlation function in redshift space, $\xi(s)$, to study the clustering of the galaxies and groups of the Nearby Optical Galaxy (NOG) sample, which is a nearly all-sky, complete, magnitude-limited sample of $\sim$7000…

The galaxy luminosity function and galaxy stellar mass function are fundamental statistics in the testing of galaxy formation models. Theoretical predictions based on cosmological simulations can deviate from observations, especially at the…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-18 Lin Tang , Weipeng Lin , Yang Wang , N. R. Napolitano

Probabilistic cross-identification has been successfully applied to a number of problems in astronomy from matching simple point sources to associating stars with unknown proper motions and even radio observations with realistic morphology.…

Astrophysics of Galaxies · Physics 2017-06-30 Neil Mallinar , Tamas Budavari , Gerard Lemson