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Accurate predictions of the abundance and clustering of dark matter haloes play a key role in testing the standard cosmological model. Here, we investigate the accuracy of one of the leading methods of connecting the simulated dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-15 Anatoly Klypin , Francisco Prada , Gustavo Yepes , Steffen Hess , Stefan Gottlober

The covariance matrix $\boldsymbol{\Sigma}$ of non-linear clustering statistics that are measured in current and upcoming surveys is of fundamental interest for comparing cosmological theory and data and a crucial ingredient for the…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-13 Nicolas Chartier , Benjamin D. Wandelt

Here we present a simple, parameter-free, non-perturbative algorithm that gives low-redshift cosmological particle realizations accurate to few-Megaparsec scales, called MUSCLE (MUltiscale Spherical ColLapse Evolution). It has virtually the…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-28 Mark C. Neyrinck

Fundamental assumptions which form the basis of models for large-scale structure in the Universe are sketched in light of a Lagrangian description of inhomogeneities. This description is introduced for Newtonian self-gravitating flows. On…

Astrophysics · Physics 2009-09-25 T. Buchert

We present CoSANG (Coupling Semi-Analytic and N-body Galaxies), a new hybrid model for cosmological dark matter and stellar halo simulations. In this approach a collisionless model (Gadget3) is used for gravitational interactions while a…

We apply the joint lensing and dynamics code for the analysis of early-type galaxies, CAULDRON, to a rotating N-body stellar system with dark matter halo which significantly violates the two major assumptions of the method, i.e. axial…

Astrophysics · Physics 2011-04-05 Matteo Barnabe , Carlo Nipoti , Leon V. E. Koopmans , Simona Vegetti , Luca Ciotti

We propose a new splitting and successively solving augmented Lagrangian (SSAL) method for solving an optimization problem with both semicontinuous variables and a cardinality constraint. This optimization problem arises in several contexts…

Optimization and Control · Mathematics 2015-06-16 Yanqin Bai , Renli Liang , Zhouwang Yang

We develop a model-independent approach to lagrangian perturbation theory for the large scale structure of the universe. We focus on the displacement field for dark matter particles, and derive its most general structure without assuming a…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-27 Marco Marinucci , Kevin Pardede , Massimo Pietroni

Execution of quantum algorithms on large-scale quantum computers will require extremely low logical error rates, which necessitates the development of scalable decoding architectures. Local decoders are promising candidates for this task,…

Quantum Physics · Physics 2026-04-24 Don Winter , Thiago L. M. Guedes , Markus Müller

We present a simple and intuitive approximation for solving perturbation theory (PT) of small cosmic fluctuations. We consider only the spherically symmetric or monopole contribution to the PT integrals, which yields the exact result for…

Astrophysics · Physics 2009-10-30 P. Fosalba , E. Gaztanaga

A common approach in semi-analytic modeling of galaxy formation is to construct Monte Carlo realizations of merger histories of dark matter halos whose masses are sampled from a halo mass function. Both the mass function itself, and the…

Astrophysics of Galaxies · Physics 2017-03-22 Andrew J. Benson

The inclusion of convection in stellar evolution models lacks realism, especially near convective-radiative interfaces. Furthermore, the interaction of convection with oscillations prevent us from accurately predicting seismic frequencies,…

Solar and Stellar Astrophysics · Physics 2025-10-31 J. Philidet , K. Belkacem

We propose a new numerical procedure to simulate a single dark halo of any size and mass in a hierarchical framework coupling the extended Press-Schechter formalism (EPSF) to N-body simulations. The procedure consists of assigning…

Astrophysics · Physics 2009-11-07 Elena D'Onghia , Claudio Firmani , Guido Chincarini

We formulate the Lagrangian perturbation theory of galaxy intrinsic alignments and compute the resulting auto and cross power spectra of galaxy shapes, densities and matter to 1-loop order. Our model represents a consistent effective-theory…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-03 Shi-Fan Chen , Nickolas Kokron

High-resolution cosmological N-body simulations are excellent tools for modelling the formation and clustering of dark matter haloes. These simulations suggest complex physical theories of halo formation governed by a set of effective…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-24 Androniki Dimitriou , Christoph Weniger , Camila A. Correa

We develop a hybrid galaxy formation model which uses outputs from an N-body simulation to follow the merger histories (or ``merger trees'') of dark matter halos and treats baryonic processes, such as the cooling of gas within halos and…

We generalize a recently developed method for accelerated Monte Carlo calculation of path integrals to the physically relevant case of generic many-body systems. This is done by developing an analytic procedure for constructing a hierarchy…

Statistical Mechanics · Physics 2011-08-08 Aleksandar Bogojevic , Ivana Vidanovic , Antun Balaz , Aleksandar Belic

Clustering the nodes of a graph is a cornerstone of graph analysis and has been extensively studied. However, some popular methods are not suitable for very large graphs: e.g., spectral clustering requires the computation of the spectral…

Machine Learning · Computer Science 2025-06-13 Etienne Lasalle , Rémi Vaudaine , Titouan Vayer , Pierre Borgnat , Rémi Gribonval , Paulo Gonçalves , Màrton Karsai

Stars form through the gravitational collapse of molecular cloud cores. Before collapsing, the cores are supported by thermal pressure and turbulent motions. A question of critical importance for the understanding of star formation is how…

Astrophysics of Galaxies · Physics 2021-03-31 Nannan Yue , Yang Gao , Di Li , Liubin Pan

The present paper derives the post-Newtonian Lagrangian of translational motion of N arbitrary-structured bodies with all mass and spin multipoles in a scalar-tensor theory of gravity. The multipoles depend on time and evolve in accordance…

General Relativity and Quantum Cosmology · Physics 2020-07-21 Sergei M. Kopeikin