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Precise and accurate predictions of the halo mass function for cluster mass scales in $w\nu{\rm CDM}$ cosmologies are crucial for extracting robust and unbiased cosmological information from upcoming galaxy cluster surveys. Here, we present…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-31 Delon Shen , Nickolas Kokron , Joseph DeRose , Jeremy Tinker , Risa H. Wechsler , Arka Banerjee , the Aemulus Collaboration

Cosmological models in which dark matter consists of cold elementary particles predict that the dark halo population should extend to masses many orders of magnitude below those at which galaxies can form. Here we report a cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-23 Jie Wang , Sownak Bose , Carlos S. Frenk , Liang Gao , Adrian Jenkins , Volker Springel , Simon D. M. White

We place limits on the mean density of the universe and the slope of the linear power spectrum around a megaparsec scale by comparing the universal mass function to the observed luminosity function. Numerical simulations suggest that the…

Astrophysics · Physics 2009-11-07 Uros Seljak

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

Theoretical frameworks based on Press-Schechter formalism and excursion set arguments suggest that the abundance of dark matter haloes exhibits universal behaviour when expressed in terms of peak height. If true, this implies that a single…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-02 Yuhao Li , Robert E. Smith

It has recently been shown that the correct halo mass function high mass behaviour may be obtained by an appropriate treatment of the all-mass-at-center problem. Here we show that the treatment of this problem leads to an accumulated mass…

Astrophysics · Physics 2009-11-11 Juan E. Betancort-Rijo , Antonio D. Montero-Dorta

We calculate the multiplicity function of matter condensations by directly considering the actual, deeply non-linear density field, which we compare to the popular Press-Schechter approximation. We show the mass function is a function of a…

Astrophysics · Physics 2007-05-23 Patrick Valageas , Richard Schaeffer

Excursion set theory is a powerful and widely used tool for describing the distribution of dark matter haloes, but it is normally applied with simplifying approximations. We use numerical sampling methods to study the mass functions…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-29 M. Sten Delos

We summarize our studies on the determination of the mass of the dark matter halo, based on observations of rotation curves of test particles or of the gravitational lensing. As we show, it is not uncommon that some studies on the nature of…

Astrophysics of Galaxies · Physics 2011-11-28 Dario Nunez , Alma X. Gonzalez Morales , Jorge L. Cervantes-Cota , Tonatiuh Matos

We present the main results of a numerical study of weak lensing cluster counting. We examine the scaling with cosmology of the projected-density-peak mass function. Our main conclusion is that the projected-peak and the three-dimensional…

Astrophysics · Physics 2011-02-11 Laura Marian , Robert E. Smith , Gary M. Bernstein

The purpose of these lectures is to give a short introduction into a very vast field of numerical simulations for cosmological applications. I focus on major features of the simulations: the equations, main numerical techniques, effects of…

Astrophysics · Physics 2008-02-03 A. Klypin

We make an estimation of the mass of the universe by considering the behavior of a very special test particle when described both by using the Newtonian mechanics as well through a scalar field theory of the Yukawa kind. Naturally, Hubble's…

General Physics · Physics 2009-11-02 P. R. Silva

The averaging problem in cosmology is of considerable importance for the correct interpretation of cosmological data. We review cosmological observations and discuss some of the issues regarding averaging. We present a precise definition of…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-07 Alan Coley

We revisit the study of the mass functions and the bias of dark matter halos. Focusing on the limit of rare massive halos, we point out that exact analytical results can be obtained for the large-mass tail of the halo mass function. This is…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-22 P. Valageas

Dark matter haloes are biased tracers of the underlying dark matter distribution. We use a simple model to provide a relation between the abundance of dark matter haloes and their spatial distribution on large scales. Our model shows that…

Astrophysics · Physics 2008-11-26 Ravi K. Sheth , Giuseppe Tormen

The distribution of galaxies, halo abundance, and peculiar velocities are influenced by non-linear gravitational interactions, making the study of non-linear evolution crucial for accurate cosmological predictions. We explore these aspects…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-24 Swati Gavas

We use an array of high-resolution N-body simulations to determine the mass function of dark matter haloes at redshifts 10-30. We develop a new method for compensating for the effects of finite simulation volume that allows us to find an…

Astrophysics · Physics 2008-11-26 Darren Reed , Richard Bower , Carlos Frenk , Adrian Jenkins , Tom Theuns

The dark matter halo mass function (HMF) is a characteristic property of cosmological structure formation models, quantifying the number density of dark matter haloes per unit mass in the Universe. A key goal of current and planned large…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-01 Steven Murray , Chris Power , Aaron Robotham

Cosmic voids, the underdense regions in the universe, are particularly sensitive to diffuse density components such as cosmic neutrinos. This sensitivity is enhanced by the match between void sizes and the free-streaming scale of massive…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-04 Gemma Zhang , Zack Li , Jia Liu , David N. Spergel , Christina D. Kreisch , Alice Pisani , Benjamin D. Wandelt

We recently developed a generalization of the halo model in order to describe the spatial clustering properties of each mass component in the Universe, including hot gas and stars. In this work we discuss the complementarity of the model…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 C. Fedeli , E. Semboloni , M. Velliscig , M. Van Daalen , J. Schaye , H. Hoekstra