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We exploit a new theory of gravity proposed by Finzi, which gives stronger interaction at large scales, to study the thermodynamic description of galaxy clusters. We employ a statistical model to deduce various thermodynamics equations of…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Abdul W. Khanday , Sudhaker Upadhyay , Naseer Iqbal , Prince A. Ganai

X-ray images of galaxy clusters often show disturbed structures that are indication of cluster mergers. As a complementary to our previous work on dynamical state of 964 clusters observed by the Chandra, we process the X-ray images for 1308…

Astrophysics of Galaxies · Physics 2025-09-29 Z. S. Yuan , J. L. Han , Z. L. Wen

Morphology is often used to infer the state of relaxation of galaxy clusters. The regularity, symmetry, and degree to which a cluster is centrally concentrated inform quantitative measures of cluster morphology. The Cluster Lensing and…

Understanding the formation and evolution of galaxy populations requires robust classification and characterisation techniques that jointly account for internal galaxy properties and environment. We analyse $5,306$ galaxies from the Galaxy…

Astrophysics of Galaxies · Physics 2026-05-25 Fan Dai , Ranjan Maitra , Ivan K. Baldry

Zernike polynomials are widely used in optics and ophthalmology due to their direct connection to classical optical aberrations. While orthogonal on the unit disk, their application to discrete data or non-circular domains--such as…

Numerical Analysis · Mathematics 2025-04-08 Sergio Díaz-Elbal , Andrei Martínez-Finkelshtein , Darío Ramos-López

Galaxy clusters offer powerful insights into the large-scale structure of the Universe and the physics of baryons in hot state. Their scientific exploitation, however, hinges on our ability to accurately measure key thermodynamic…

We want to characterize the dynamical state of galaxy clusters detected with the Sunyaev-Zeldovich (SZ) effect by Planck and compare them with the dynamical state of clusters selected in X-rays survey. We analyzed a representative subsample…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-17 M. Rossetti , F. Gastaldello , G. Ferioli , M. Bersanelli , S. De Grandi , D. Eckert , S. Ghizzardi , D. Maino , S. Molendi

We define a large sample of galaxies for use in a study of the fundamental plane in the intermediate redshift cluster CL1358+62 at $z=0.33$. We have analyzed high resolution spectra for 55 members of the cluster. The data were acquired with…

Astrophysics · Physics 2009-10-31 Daniel D. Kelson , Garth D. Illingworth , Pieter G. van Dokkum , Marijn Franx

We probe the statistical isotropy hypothesis of the large-scale structure with the second Planck Sunyaev-Zeldovich (PSZ2) galaxy clusters data set. Our analysis adopts a statistical-geometrical method which compares the 2-point angular…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-15 C. A. P. Bengaly , A. Bernui , I. S. Ferreira , J. S. Alcaniz

We explore the morphological and dynamical evolution of galaxy clusters in simulations using scalar and vector-valued Minkowski valuations and the concept of fundamental plane relations. In this context, three questions are of fundamental…

Astrophysics · Physics 2009-07-07 C. Beisbart , R. Valdarnini , T. Buchert

If properly calibrated, the shapes of galaxy clusters can be used to investigate many physical processes: from feedback and quenching of star formation, to the nature of dark matter. Theorists frequently measure shapes using moments of…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-11 David Harvey , Andrew Robertson , Sut-Ieng Tam , Mathilde Jauzac , Richard Massey , Jason Rhodes , Ian G. McCarthy

A given set of data-points in some feature space may be associated with a Schrodinger equation whose potential is determined by the data. This is known to lead to good clustering solutions. Here we extend this approach into a full-fledged…

Data Analysis, Statistics and Probability · Physics 2010-02-16 Marvin Weinstein , David Horn

Sunyaev-Zel'dovich (SZ) cluster surveys will become an important cosmological tool over next few years, and it will be essential to relate these new surveys to cluster surveys in other wavebands. We present an empirical model of cluster SZ…

Astrophysics · Physics 2008-05-29 A. Chamballu , J. G. Bartlett , J. -B. Melin , M. Arnaud

As the quality of the available galaxy cluster data improves, the models fitted to these data might be expected to become increasingly complex. Here we present the Bayesian approach to the problem of cluster data modelling: starting from…

Astrophysics · Physics 2009-11-10 P. J. Marshall , M. P. Hobson , A. Slosar

The pressure of hot gas in groups and clusters of galaxies is a key physical quantity, which is directly linked to the total mass of the halo and several other thermodynamical properties. In the wake of previous observational works on the…

We present a new method for the mitigation of observational systematic effects in angular galaxy clustering via corrective random galaxy catalogues. Real and synthetic galaxy data, from the Kilo Degree Survey's (KiDS) 4$^{\rm{th}}$ Data…

We develop a machine learning algorithm to infer the 3D cumulative radial profiles of total and gas mass in galaxy clusters from thermal Sunyaev-Zel'dovich effect maps. We generate around 73,000 mock images along various lines of sight…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-02 A. Ferragamo , D. de Andres , A. Sbriglio , W. Cui , M. De Petris , G. Yepes , R. Dupuis , M. Jarraya , I. Lahouli , F. De Luca , G. Gianfagna , E. Rasia

A set of orthogonal polynomials on the unit disk $B(0,1)$ known as Zernike polynomials are commonly used in the analysis and evaluation of optical systems. Here Zernike polynomials are used to construct wavelets for polynomial subspaces of…

Functional Analysis · Mathematics 2025-07-24 Somantika Datta , Kanti B. Datta

The galaxy phase-space distribution in galaxy clusters provides insights into the formation and evolution of cluster galaxies, and it can also be used to measure cluster mass profiles. We present a dynamical study based on $\sim$3000…

Pupil mapping is a promising and unconventional new method for high contrast imaging being considered for terrestrial exoplanet searches. It employs two (or more) specially designed aspheric mirrors to create a high-contrast amplitude…

Astrophysics · Physics 2011-02-11 Ruslan Belikov , N. Jeremy Kasdin , Robert J. Vanderbei
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