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We combine data from a number of N-body simulations to predict the abundance of dark halos in Cold Dark Matter universes over more than 4 orders of magnitude in mass. A comparison of different simulations suggests that the dominant…

Galaxy clusters are luminous tracers of the most massive dark matter haloes in the Universe. To use them as a cosmological probe, a detailed description of the properties of dark matter haloes is required. We characterize how the dynamical…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-01 R. Seppi , J. Comparat , K. Nandra , E. Bulbul , F. Prada , A. Klypin , A. Merloni , P. Predehl , J. Ider Chitham

Self-similarity induced by critical gravitational collapse is used as a paradigm to probe the mass distribution of subsolar objects. At large mass (solar mass and above) there is widespread agreement as to both the form and parameter values…

Astrophysics · Physics 2007-05-23 Matt Visser , Nicolas Yunes

Analytic models based on spherical and ellipsoidal gravitational collapse have been used to derive the mass functions of dark matter halos and their progenitors (the conditional mass function). The ellipsoidal model generally provides a…

Astrophysics · Physics 2010-12-16 Jun Zhang , Chung-Pei Ma , Onsi Fakhouri

The cosmological mass function problem is analyzed in full detail in the case of 1D gravity, with analytical, semi-analytical and numerical techniques. The extended Press & Schechter theory is improved by detailing the relation between…

Astrophysics · Physics 2009-10-31 Pierluigi Monaco , Giuseppe Murante

Existing models for the dependence of the halo mass function on cosmological parameters will become a limiting source of systematic uncertainty for cluster cosmology in the near future. We present a halo mass function emulator and…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-20 Thomas McClintock , Eduardo Rozo , Matthew R. Becker , Joseph DeRose , Yau-Yuan Mao , Sean McLaughlin , Jeremy L. Tinker , Risa H. Wechsler , Zhongxu Zhai

We have previously reported the discovery of strong gravitational lensing by faint elliptical galaxies using the WFPC2 on HST and here we investigate their potential usefulness in putting constraints on lens mass models. We compare various…

Astrophysics · Physics 2009-11-06 Adam Knudson , Kavan U. Ratnatunga , Richard E. Griffith

The Press & Schechter ``numerical recipe'' is briefly reviewed, together with the recently proposed dynamical mass function theory, in which the mass function is constructed by using the powerful Lagrangian perturbation theory. The…

Astrophysics · Physics 2007-05-23 Pierluigi Monaco

Using very general and well established ideas of the statistical physics of macroscopic bodies, that is, of those composed of many degrees of freedom, we show how classical behavior of the center of mass motion arises from a fully quantum…

Quantum Physics · Physics 2015-04-21 Victor Romero-Rochin

Attempts to apply quantum collapse theories to Cosmology and cosmic inflation are reviewed. These attempts are motivated by the fact that the theory of cosmological perturbations of quantum-mechanical origin suffers from the single outcome…

Quantum Physics · Physics 2021-04-14 Jerome Martin , Vincent Vennin

We present a re-analysis of the cosmic confusion hypothesis, elucidating the degree to which ``confusion'' can be expected to hold in a class of flat, adiabatic models. This allows us to devise a simple and accurate fitting function for the…

Astrophysics · Physics 2009-08-18 Martin White

The cosmological many-body problem is effectively an infinite system of gravitationally interacting masses in an expanding universe. Despite the interactions' long-range nature, an analytical theory of statistical mechanics describes the…

Cosmology and Nongalactic Astrophysics · Physics 2010-09-01 W. C. Saslaw , A. Yang

The early cosmic inflation, when taken along with the recent observations that the universe is currently dominated by a low density vacuum energy, leads to at least two potential problems which modern cosmology must address. First, there is…

Astrophysics · Physics 2009-11-07 Manasse R. Mbonye

Euclid's photometric galaxy cluster survey has the potential to be a very competitive cosmological probe. The main cosmological probe with observations of clusters is their number count, within which the halo mass function (HMF) is a key…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-17 Euclid Collaboration , T. Castro , A. Fumagalli , R. E. Angulo , S. Bocquet , S. Borgani , C. Carbone , J. Dakin , K. Dolag , C. Giocoli , P. Monaco , A. Ragagnin , A. Saro , E. Sefusatti , M. Costanzi , A. M. C. Le Brun , P. -S. Corasaniti , A. Amara , L. Amendola , M. Baldi , R. Bender , C. Bodendorf , E. Branchini , M. Brescia , S. Camera , V. Capobianco , J. Carretero , M. Castellano , S. Cavuoti , A. Cimatti , R. Cledassou , G. Congedo , L. Conversi , Y. Copin , L. Corcione , F. Courbin , A. Da Silva , H. Degaudenzi , M. Douspis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Farrens , S. Ferriol , P. Fosalba , M. Frailis , E. Franceschi , S. Galeotta , B. Garilli , B. Gillis , A. Grazian , F. Grupp , S. V. H. Haugan , F. Hormuth , A. Hornstrup , P. Hudelot , K. Jahnke , S. Kermiche , T. Kitching , M. Kunz , H. Kurki-Suonio , P. B. Lilje , I. Lloro , O. Mansutti , O. Marggraf , F. Marulli , M. Meneghetti , E. Merlin , G. Meylan , M. Moresco , L. Moscardini , E. Munari , S. M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. Popa , L. Pozzetti , F. Raison , R. Rebolo , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , R. Saglia , D. Sapone , B. Sartoris , P. Schneider , G. Seidel , G. Sirri , L. Stanco , P. Tallada Crespí , A. N. Taylor , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , E. A. Valentijn , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , A. Zacchei , G. Zamorani , S. Andreon , S. Bardelli , E. Bozzo , C. Colodro-Conde , D. Di Ferdinando , M. Farina , J. Graciá-Carpio , V. Lindholm , C. Neissner , V. Scottez , M. Tenti , E. Zucca , C. Baccigalupi , A. Balaguera-Antolínez , M. Ballardini , F. Bernardeau , A. Biviano , A. Blanchard , A. S. Borlaff , C. Burigana , R. Cabanac , A. Cappi , C. S. Carvalho , S. Casas , G. Castignani , A. Cooray , J. Coupon , H. M. Courtois , S. Davini , G. De Lucia , G. Desprez , H. Dole , J. A. Escartin , S. Escoffier , F. Finelli , K. Ganga , J. Garcia-Bellido , K. George , G. Gozaliasl , H. Hildebrandt , I. Hook , S. Ilić , V. Kansal , E. Keihanen , C. C. Kirkpatrick , A. Loureiro , J. Macias-Perez , M. Magliocchetti , R. Maoli , S. Marcin , M. Martinelli , N. Martinet , S. Matthew , M. Maturi , R. B. Metcalf , G. Morgante , S. Nadathur , A. A. Nucita , L. Patrizii , A. Peel , V. Popa , C. Porciani , D. Potter , A. Pourtsidou , M. Pöntinen , A. G. Sánchez , Z. Sakr , M. Schirmer , M. Sereno , A. Spurio Mancini , R. Teyssier , J. Valiviita , A. Veropalumbo , M. Viel

Within present constraints on the observed smooth energy and its equation of state parameter, it is important to find out whether the smooth energy is static (cosmological constant) or dynamic (quintessence). The most dynamical quintessence…

Astrophysics · Physics 2009-04-13 S. A. Bludman , M. Roos

The abundance of cosmic voids can be described by an analogue of halo mass functions for galaxy clusters. In this work, we explore a number of void mass functions: from those based on excursion-set theory to new mass functions obtained by…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-05 Siri Chongchitnan , Matthew Hunt

I compare various semi-analytic models for the bias of dark matter halos with halo clustering properties observed in recent numerical simulations. The best fitting model is one based on the collapse of ellipsoidal perturbations proposed by…

Astrophysics · Physics 2016-08-30 James Robinson

We use simulated images of star-forming regions to explore the effects of various image acquisition techniques on the derived clump mass function. In particular, we focus on the effects of finite image angular resolution, the presence of…

Astrophysics of Galaxies · Physics 2015-05-19 M. A. Reid , J. Wadsley , N. Petitclerc , A. Sills

The abundance of collapsed objects in the universe, or halo mass function, is an important theoretical tool in studying the effects of primordially generated non-Gaussianities on the large scale structure. The non-Gaussian mass function has…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Guido D'Amico , Marcello Musso , Jorge Noreña , Aseem Paranjape

This work investigates different models of rotational dynamics of two rigid bodies with the shape of an ellipsoid, moving under their gravitational influence. The focus of this study is on their behavior, their linear stability, and…

Dynamical Systems · Mathematics 2025-10-28 Adrián P. Bustamante , Alessandra Celletti , Christoph Lhotka