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We formulate a general setting for the cluster expansion method and we discuss sufficient criteria for its convergence. We apply the results to systems of classical and quantum particles with stable interactions.

Mathematical Physics · Physics 2009-05-08 Suren Poghosyan , Daniel Ueltschi

The cumulant correlators, $C_{pq}$, are statistical quantities that generalise the better-known $S_p$ parameters; the former are obtained from the two-point probability distribution function of the density fluctuations while the latter…

Astrophysics · Physics 2007-05-23 Dipak Munshi , Adrian L. Melott , Peter Coles

The properties of old globular cluster systems in galaxy halos are used to infer quantitative constraints on aspects of generic star (cluster) formation. First, the spatial distribution of globulars in three large galaxies, together with…

Astrophysics · Physics 2007-05-23 Dean E. McLaughlin

We present an overview of observational progress in the study of extragalactic globular cluster systems. Globular clusters turn out to be excellent tracers not only for the star-formation histories in galaxies, but also for kinematics at…

Astrophysics · Physics 2007-05-23 Markus Kissler-Patig

Well-calibrated scaling relations between the observable properties and the total masses of clusters of galaxies are important for understanding the physical processes that give rise to these relations. They are also a critical ingredient…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 S. Giodini , L. Lovisari , E. Pointecouteau , S. Ettori , T. H. Reiprich , H. Hoekstra

We model the evolution of galaxy clustering through cosmic time to investigate the nature of the power-law shape of xi(r), the galaxy two-point correlation function. Departures from a power law are mainly governed by galaxy pair counts on…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Douglas F. Watson , Andreas A. Berlind , Andrew R. Zentner

Observational evidence shows that gravitational lensing induces an angular correlation between the distribution of galaxies and much more distant QSOs. We use weak gravitational lensing theory to calculate this angular correlation, updating…

We investigate the dependence of the strength of galaxy clustering on intrinsic luminosity using the Anglo-Australian two degree field galaxy redshift survey (2dFGRS). The 2dFGRS is over an order of magnitude larger than previous redshift…

The investigation of the orientation of galaxies is a standard test concerning to scenarios of galaxy formation, because different theories of galaxy formation make various predictions regarding to the angular momentum of galaxies. The new…

Astrophysics of Galaxies · Physics 2014-04-02 Elena Panko , Paulina Piwowarska , Jolanta Godlowska , Wlodzimierz Godlowski , Piotr Flin

The recent measurement of the gravitational redshifts of galaxies in galaxy clusters by Wojtak et al. has opened a new observational window on dark matter and modified gravity. By stacking clusters this determination effectively used the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Rupert A. C. Croft

Galaxy clusters are connected at their peripheries to the large scale structures by cosmic filaments that funnel accreting material. These filamentary structures are studied to investigate both environment-driven galaxy evolution and…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-17 C. Gouin , N. Aghanim , V. Bonjean , M. Douspis

We discuss the problem of galaxy correlations by considering the various methods by which this information can be obtained. We focus in particular on the volume limited three dimensional samples and discuss a new way to increase the scale…

Astrophysics · Physics 2007-05-23 L. Pietronero , M. Montuori , F. Sylos Labini

We estimate galaxy clustering under a modified gravitational potential. In particular, the modifications in gravitational potential energy occur due to a power-law and cosmological constant terms. We derive a canonical partition function…

General Relativity and Quantum Cosmology · Physics 2021-06-15 Abdul W. Khanday , Sudhaker Upadhyay , Prince A. Ganai

It appears that the dynamical status of clusters and groups of galaxies is related to the large-scale structure of the Universe. A few interesting trends have been established: (1) The Cluster Substructure - Alignment Connection, by which…

Astrophysics · Physics 2009-11-10 Manolis Plionis

In [7], a cluster expansion method has been developed to study the fluctuations of the hard sphere dynamics around the Boltzmann equation. This method provides a precise control on the exponential moments of the empirical measure, from…

Analysis of PDEs · Mathematics 2022-07-20 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

We use semi-analytic modeling on top of the Millennium simulation to study the joint formation of galaxies and their embedded supermassive black holes. Our goal is to test scenarios in which black hole accretion and quasar activity are…

We show that observational data for four Abell clusters of galaxies support the Gur\-za\-dyan-Kocharyan relation between the Hausdorff dimension and the dynamical properties of a galaxy system. The Hausdorff dimension is calculated using…

Astrophysics · Physics 2007-05-23 Pierluigi Monaco

In gaussian theories of structure formation, the galaxy cluster abundance is an extremely sensitive probe of the density fluctuation power spectrum and of the density parameter, $\Omega$. We develop this theme by deriving and studying in…

Astrophysics · Physics 2008-02-03 James G. Bartlett

We present two different projects. The first one is related to the development of a semi-analytic model to follow the formation, the evolution and chemical enrichment of cluster galaxies in a hierarchical dark matter model. The second…

Astrophysics · Physics 2007-05-23 Gabriella De Lucia , Guinevere Kauffmann , Simon D. M. White

The relative orientation of clusters' major elongation axes and clusters' angular momentum is studied using a large N-body simulation in a box of 500 Mpc/h base length for a standard LambdaCDM model. Employing the technique of mark…

Astrophysics · Physics 2009-11-07 Andreas Faltenbacher , Martin Kerscher , Stefan Gottloeber , Volker Mueller
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