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Related papers: Minkowski Functionals of Large-Scale Structure as …

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Minkowski functionals (MFs) are a set of statistics that characterise the geometry and topology of the cosmic density field and contain complementary information to the standard two-point analyses. We present MEDUSA, an implementation of an…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-13 Martha Lippich , Ariel G. Sánchez

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

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

This work investigates the impact of different Modified Gravity (MG) models on the large-scale structures (LSS) properties in relation to the cosmic web (CW), using N-body simulations of f(R) and nDGP models. We analyse the impact of the MG…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-28 Suhani Gupta , Simon Pfeifer , Punyakoti Ganeshaiah Veena , Wojciech A. Hellwing

We investigate the information content of various cosmic shear statistics on the theory of gravity. Focusing on the Hu-Sawicki-type $f(R)$ model, we perform a set of ray-tracing simulations and measure the convergence bispectrum, peak…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-25 Masato Shirasaki , Takahiro Nishimichi , Baojiu Li , Yuichi Higuchi

This article describes the theoretical foundation of and explicit algorithms for a novel approach to morphology and anisotropy analysis of complex spatial structure using tensor-valued Minkowski functionals, the so-called Minkowski tensors.…

We use Minkowski functionals to analyse weak lensing convergence maps from the first-year data release of the Subaru Hyper Suprime-Cam (HSC-Y1) survey. Minkowski functionals provide a description of the morphological properties of a field,…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-13 Joaquin Armijo , Gabriela A. Marques , Camila P. Novaes , Leander Thiele , Jessica A. Cowell , Daniela Grandón , Masato Shirasaki , Jia Liu

We study the effect of $f(R)$ gravity on the statistical properties of various large-scale structures which can be probed in weak gravitational lensing measurements. A set of ray-tracing simulations of gravitational lensing in $f(R)$…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-04 Yuichi Higuchi , Masato Shirasaki

We present new and accurate measurements of the cosmic distance-redshift relation, spanning 0.2 < z < 1, using the topology of large-scale structure as a cosmological standard ruler. Our results derive from an analysis of the Minkowski…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Chris Blake , J. Berian James , Gregory B. Poole

Minkowski functionals have recently been introduced into cosmology as novel tools for studying the large-scale distribution of matter in the Universe. We present a brief overview of the method, including its mathematical foundations as well…

Astrophysics · Physics 2007-05-23 Jens Schmalzing

Aims. H.E.S.S. observes an increasing number of large extended sources. A new technique based on the structure of the sky map is developed to account for these additional structures by comparing them with the common point source analysis.…

Instrumentation and Methods for Astrophysics · Physics 2013-07-12 D. Göring , M. A. Klatt , C. Stegmann , K. Mecke

We explore the Minkowski functionals of weak lensing convergence map to distinguish between $f(R)$ gravity and the general relativity (GR). The mock weak lensing convergence maps are constructed with a set of high-resolution simulations…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-21 Chenxiaoji Ling , Qiao Wang , Ran Li , Baojiu Li , Jie Wang , Liang Gao

We pursue a novel morphometric analysis to detect sources in very-high-energy gamma-ray counts maps by structural deviations from the background noise without assuming any prior knowledge about potential sources. The rich and complex…

Instrumentation and Methods for Astrophysics · Physics 2017-10-11 Michael A. Klatt , Klaus Mecke

We present measurements of the Minkowski functionals extracted from the SDSS-III BOSS catalogs. After defining the Minkowski functionals, we describe how an unbiased reconstruction of these statistics can be obtained from a field with…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-06 Stephen Appleby , Changbom Park , Pratyush Pranav , Sungwook E. Hong , Ho Seong Hwang , Juhan Kim , Thomas Buchert

Cosmic voids are progressively emerging as a new viable cosmological probe. Their abundance and density profiles are sensitive to modifications of gravity, as well as to dark energy and neutrinos. The main goal of this work is to…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-21 Sofia Contarini , Federico Marulli , Lauro Moscardini , Alfonso Veropalumbo , Carlo Giocoli , Marco Baldi

We use a high-resolution dissipationless simulation to study the evolution of the dark matter and halo distributions in a spatially flat cosmological model dominated by a cosmological constant $\Lambda$ and cold dark matter ($\Lambda$CDM).…

Astrophysics · Physics 2009-10-31 Jens Schmalzing , Stefan Gottloeber , Anatoly A. Klypin , Andrey V. Kravtsov

The Minkowski functionals are useful statistics to quantify the morphology of various random fields. They have been applied to numerous analyses of geometrical patterns, including various types of cosmic fields, morphological image…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-01 Takahiko Matsubara , Satoshi Kuriki

We apply the Minkowski Tensor statistics to two dimensional slices of the three dimensional density field. The Minkowski Tensors are a set of functions that are sensitive to directionally dependent signals in the data, and furthermore can…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-23 Stephen Appleby , Pravabati Chingangbam , Changbom Park , Sungwook E. Hong , Juhan Kim , Vidhya Ganesan

The second-order formula of Minkowski functionals in weakly non-Gaussian fields is compared with the numerical $N$-body simulations. Recently, weakly non-Gaussian formula of Minkowski functionals is extended to include the second-order…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-03 Takahiko Matsubara , Chiaki Hikage , Satoshi Kuriki

The study of shapes of the images of objects is an important issue not only because it reveals its dynamical state but also it helps to understand the object's evolutionary history. We discuss a new technique in cosmological image analysis…

Astrophysics · Physics 2016-01-27 Nurur Rahman , Sergei F. Shandarin