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Several extensions of the standard cosmological model include scalar fields as new degrees of freedom in the underlying gravitational theory. A particular class of these scalar field theories include screening mechanisms intended to hide…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-04 Claudio Llinares , David F. Mota , Hans A. Winther

In the era of foundation models and Large Language Models (LLMs), Euclidean space has been the de facto geometric setting for machine learning architectures. However, recent literature has demonstrated that this choice comes with…

Machine Learning · Computer Science 2025-11-26 Neil He , Jiahong Liu , Buze Zhang , Ngoc Bui , Ali Maatouk , Menglin Yang , Irwin King , Melanie Weber , Rex Ying

In these lecture notes, we describe the current state-of-the-art for numerical simulations of large-scale structure and galaxy formation. Numerical simulations play a central role in the preparation and the exploitation of large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-16 Romain Teyssier

Cosmic structure simulations have improved enormously over the past decade, both in terms of the resolution which can be achieved, and with the addition of hydrodynamic and other techniques to formerly purely gravitational methods. This is…

Astrophysics · Physics 2007-05-23 H. M. P. Couchman

(Abridged) The growing role played by numerical N-body simulations in cosmological studies as a fundamental connection between theoretical modeling and direct observations has led to impressive advancements also in the development and…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-26 Marco Baldi

We use the spherical collapse method to investigate the non-linear density perturbations of pressureless matter in the cosmological models with the extended quintessence as dark energy in the metric and Palatini formalisms. We find that for…

General Relativity and Quantum Cosmology · Physics 2015-11-09 Yize Fan , Puxun Wu , Hongwei Yu

We show how Newtonian cosmological simulations can be employed to investigate the non-linear evolution of two particle species in a relativistic context. We discuss the application for massive neutrinos and other multi-species systems such…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-16 Christian Fidler , Alexander Kleinjohann , Thomas Tram , Cornelius Rampf , Kazuya Koyama

Ground and space-based sky surveys enable powerful cosmological probes based on measurements of galaxy properties and the distribution of galaxies in the Universe. These probes include weak lensing, baryon acoustic oscillations, abundance…

We apply and test a field-level emulator for non-linear cosmic structure formation in a volume matching next-generation surveys. Inferring the cosmological parameters and initial conditions from which the particular galaxy distribution of…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-20 Matthew T. Scoggins , Matthew Ho , Francisco Villaescusa-Navarro , Drew Jamieson , Ludvig Doeser , Greg L. Bryan

Recent cosmological tensions pose difficulties for $\Lambda$CDM. Forthcoming facilities will be able to check whether these tensions result from systematic effects or indeed with the $\Lambda$CDM model itself. However, these new data will…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-12 Dinko Milaković , John K. Webb

We study the nonlinear growth of cosmic structure in different dark energy models, using large volume N-body simulations. We consider a range of quintessence models which feature both rapidly and slowly varying dark energy equations of…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-13 Elise Jennings , Carlton M. Baugh , Raul E. Angulo , Silvia Pascoli

Year 1 results of the Legacy Survey of Space and Time (LSST) will provide tighter constraints on small-scale cosmology, beyond the validity of linear perturbation theory. This heightens the demand for a computationally affordable…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-27 Jonathan Gordon , Bernardo F. de Aguiar , João Rebouças , Guilherme Brando , Felipe Falciano , Vivian Miranda , Kazuya Koyama , Hans A. Winther

Currently, most of the numerical simulations of structure formation use Newtonian gravity. When modelling pressureless dark matter, or `dust', this approach gives the correct results for scales much smaller than the cosmological horizon,…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-09 Adam J. Christopherson , J. C. Hidalgo , Karim A. Malik

We present an assumption-minimized framework for testing late-time cosmological models using Uncalibrated Cosmic Standards (UCS), including standard rulers and standard candles, without relying on absolute calibrations. The method exploits…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-12 Yihao Wang , Weikang Lin

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

We present $\Lambda$CDM $N$-body cosmological simulations in the framework of a static general scalar-tensor theory of gravity. Due to the influence of the non-minimally coupled scalar field, the gravitational potential is modified by a…

Every cosmology lecturer these days is confronted with teaching the modern cosmological standard model $\Lambda$CDM, and there are many approaches to do this. However, the danger is imminent that it is presented to students as something set…

Physics Education · Physics 2020-04-15 Tanja Rindler-Daller

On the basis of a qualitative and numerical analysis of a cosmological model based on an asymmetric scalar doublet of nonlinear, minimally interacting scalar fields -- one classical and one phantom, peculiarities of the behavior of the…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Yu. G. Ignat'ev , I. A. Kokh

The standard Lambda cold dark matter ($\Lambda$CDM) paradigm of the physical Universe suffers from well-known conceptual problems and is challenged by observational data. Alternative models exist in the literature, both phenomenological and…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-13 D. Castelão , I. Tereno

Machine learning enables powerful cosmological inference but typically requires many high-fidelity simulations covering many cosmological models. Transfer learning offers a way to reduce the simulation cost by reusing knowledge across…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-23 Veena Krishnaraj , Adrian E. Bayer , Christian Kragh Jespersen , Peter Melchior