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Cosmography is a model-independent phenomenological approach to observational cosmology, relying on Taylor series expansions of physical quantities as a function of the cosmological redshift or other analogous variables. A recent work…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-27 C. J. A. P. Martins

Many statistical methods have been proposed in the last years for analyzing the spatial distribution of galaxies. Very few of them, however, can handle properly the border effects of complex observational sample volumes. In this paper, we…

Astrophysics · Physics 2008-11-26 Enn Saar , Vicent J. Martinez , Jean-Luc Starck , David L. Donoho

For the first time, we develop a simulation-based model for the Minkowski functionals (MFs) of large-scale structure, which allows us to extract the full information available from the MFs (including both the Gaussian and non-Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-20 Wei Liu , Enrique Paillas , Carolina Cuesta-Lazaro , Georgios Valogiannis , Wenjuan Fang

Marked power spectra are two-point statistics of a marked field obtained by weighting each location with a function that depends on the local density around that point. We consider marked power spectra of the galaxy field in redshift space…

We review observational tests for the homogeneity of the Universe on large scales. Redshift and peculiar velocity surveys, radio sources, the X-Ray Background, the Lyman-$\alpha$ forest and the Cosmic Microwave Background are used to set…

Astrophysics · Physics 2007-05-23 Ofer Lahav

We describe our methodology for comparing the WMAP measurements of the cosmic microwave background (CMB) and other complementary data sets to theoretical models. The unprecedented quality of the WMAP data, and the tight constraints on…

Minkowski functionals (MFs) quantify the topological properties of a given field probing its departure from Gaussianity. We investigate their use on lensing convergence maps in order to see whether they can provide further insights on the…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-02 Martina Vicinanza , Vincenzo F. Cardone , Roberto Maoli , Roberto Scaramella , Xinzhong Er , Ismael Tereno

Focusing on the well motivated aperture mass statistics $\Map$, we study the possibility of constraining cosmological parameters using future space based SNAP class weak lensing missions. Using completely analytical results we construct the…

Astrophysics · Physics 2007-05-23 Dipak Munshi , Patrick Valageas

Models which accelerate the expansion of the universe through the addition of a function of the Ricci scalar f(R) leave a characteristic signature in the large-scale structure of the universe at the Compton wavelength scale of the extra…

Astrophysics · Physics 2008-11-26 Yong-Seon Song , Hiranya Peiris , Wayne Hu

We present a method of calibrating the properties of photometric redshift bins as part of a larger Markov Chain Monte Carlo (MCMC) analysis for the inference of cosmological parameters. The redshift bins are characterised by their mean and…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-02 Michael McLeod , Sreekumar T. Balan , Filipe B. Abdalla

Weighted correlation functions are an increasingly important tool for understanding how galaxy properties depend on their separation from each other. We use a mock galaxy sample drawn from the Millenium simulation, assigning weights using a…

Cosmology and Nongalactic Astrophysics · Physics 2010-07-20 Aday R. Robaina , Eric F. Bell

We develop a methodology to use the redshift dependence of the galaxy 2-point correlation function (2pCF) across the line-of-sight, $\xi(r_{\bot})$, as a probe of cosmological parameters. The positions of galaxies in comoving Cartesian…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-02 Xiao-Dong Li , Changbom Park , Cristiano G. Sabiu , Hyunbae Park , Cheng Cheng , Juhan Kim , Sungwook E. Hong

Fermi Normal Coordinates (FNC) are a useful frame for isolating the locally observable, physical effects of a long-wavelength spacetime perturbation. Their cosmological application, however, is hampered by the fact that they are only valid…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Liang Dai , Enrico Pajer , Fabian Schmidt

We introduce weighted atom-centered symmetry functions (wACSFs) as descriptors of a chemical system's geometry for use in the prediction of chemical properties such as enthalpies or potential energies via machine learning. The wACSFs are…

We investigate how observations of strong lensing can be used to infer cosmological parameters, in particular the equation of state of dark energy. We focus on the growth of the critical lines of lensing clusters with the source redshift as…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-03 Britta Zieser , Matthias Bartelmann

In theories of modified gravity with the chameleon screening mechanism, the strength of the fifth force depends on environment. This induces an environment dependence of structure formation, which differs from $\Lambda$CDM. We show that…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-06 Joaquin Armijo , Yan-Chuan Cai , Nelson Padilla , Baojiu Li , John A. Peacock

(abridged) The clustering properties of galaxies belonging to different luminosity ranges or having different morphological types are different. These characteristics or `marks' permit to understand the galaxy catalogs that carry all this…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-14 Vicent J. Martinez , Pablo Arnalte-Mur , Dietrich Stoyan

We present the integrated 3-point correlation functions (3PCF) involving both the cosmic shear and the galaxy density fields. These are a set of higher-order statistics that describe the modulation of local 2-point correlation functions…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-29 Anik Halder , Zhengyangguang Gong , Alexandre Barreira , Oliver Friedrich , Stella Seitz , Daniel Gruen

Cosmography is a phenomenological and relatively model-independent approach to cosmology, where physical quantities are expanded as a Taylor series in the cosmological redshift, or in related variables. Here we apply this methodology to…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-08 C. J. A. P. Martins , F. P. S. A. Ferreira , P. V. Marto

We investigate the inclusion of clustering maps in a weak lensing Minkowski functional (MF) analysis of DES-like and LSST-like simulations to constrain cosmological parameters. The standard 3x2pt approach to lensing and clustering data uses…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-25 Nisha Grewal , Joe Zuntz , Tilman Tröster , Alexandra Amon