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The statistical tools needed to obtain a mass function from realistic collapse time estimates are presented. Collapse dynamics has been dealt with in paper I of this series by means of the powerful Lagrangian perturbation theory and the…

Astrophysics · Physics 2015-06-24 Pierluigi Monaco

In this work, we introduce MOLA: a Multi-block Orthogonal Long short-term memory Autoencoder paradigm, to conduct accurate, reliable fault detection of industrial processes. To achieve this, MOLA effectively extracts dynamic orthogonal…

Machine Learning · Computer Science 2025-10-31 Fangyuan Ma , Cheng Ji , Jingde Wang , Wei Sun , Xun Tang , Zheyu Jiang

N-body simulations are essential for understanding the formation and evolution of structure in the Universe. However, the discrete nature of these simulations affects their accuracy when modelling collisionless systems. We introduce a new…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-18 Oliver Hahn , Raul E. Angulo

We report on a series of tests of Newtonian Lagrangian perturbation schemes using N--body simulations for various power--spectra with scale--independent indices in the range $-3$ to $+1$. The models have been evolved deeply into the…

Astrophysics · Physics 2007-05-23 T. Buchert , A. L. Melott , A. G. Weiss

We have developed a new halo finding method, Physically Self-Bound (PSB) group finding algorithm, which can efficiently identify halos located even at crowded regions. This method combines two physical criteria such as the tidal radius of a…

Astrophysics · Physics 2009-11-10 Juhan Kim , Changbom Park

We describe a major upgrade of a Monte Carlo code which has previously been used for many studies of dense star clusters. We outline the steps needed in order to calibrate the results of the new Monte Carlo code against $N$-body simulations…

Astrophysics of Galaxies · Physics 2015-06-03 Mirek Giersz , Douglas C. Heggie , Jarrod Hurley , Arkadiusz Hypki

We present a new time-stepping criterion for N-body simulations that is based on the true dynamical time of a particle. This allows us to follow the orbits of particles correctly in all environments since it has better adaptivity than…

Astrophysics · Physics 2009-10-12 Marcel Zemp , Joachim Stadel , Ben Moore , C. Marcella Carollo

Modeling interacting galaxies to reproduce observed systems is still a challenge due to the extended parameter space (among other problems). Orbit and basic galaxy parameters can be tackled by fast simulation techniques like the restricted…

Astrophysics · Physics 2009-11-13 Hanns P. Petsch , Christian Theis

Galaxy surveys demand fast large-scale structure forward models that preserve large-scale phases while providing realistic nonlinear morphology at fixed force resolution. Single-step Lagrangian Perturbation Theory (LPT) solvers are…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-26 Francisco-Shu Kitaura , Francesco Sinigaglia

This is the second paper in a series where we propose a method of indirectly measuring large scale structure using information from small scale perturbations. The idea is to build a quadratic estimator from small scale modes that provides a…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-03 Peikai Li , Rupert A. C. Croft , Scott Dodelson

This paper presents a fast, economical particle-multiple-mesh N-body code optimized for large-N modelling of collisionless dynamical processes, such as black-hole wandering or bar-halo interactions, occurring within isolated galaxies. The…

Astrophysics · Physics 2007-11-07 John Magorrian

Robust measurements based on current large-scale structure surveys require precise knowledge of statistical and systematic errors. This can be obtained from large numbers of realistic mock galaxy catalogues that mimic the observed…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-04 Cullan Howlett , Marc Manera , Will J. Percival

The determination of the resolution of cosmological N-body simulations, i.e., the range of scales in which quantities measured in them represent accurately the continuum limit, is an important open question. We address it here using…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-21 David Benhaiem , Michael Joyce , Francesco Sylos Labini

Can N-body simulations reliably determine the structural properties of dark matter halos? Focussing on a Virgo-sized galaxy cluster, we increase the resolution of current ``high resolution simulations'' by almost an order of magnitude to…

Astrophysics · Physics 2008-11-26 Sebastiano Ghigna , Ben Moore , Fabio Governato , George Lake , Tom Quinn , Joachim Stadel

We present an algorithm which is designed to allow the efficient identification and preliminary dynamical analysis of thousands of structures and substructures in large N-body simulations. First we utilise a refined density gradient system…

Astrophysics · Physics 2009-11-10 Jochen Weller , Jeremiah P Ostriker , Paul Bode , Laurie Shaw

High order perturbation theory has seen an unexpected recent revival for controlled calculations of quantum many-body systems, even at strong coupling. We adapt integration methods using low-discrepancy sequences to this problem. They…

Strongly Correlated Electrons · Physics 2020-08-27 Marjan Maček , Philipp T. Dumitrescu , Corentin Bertrand , Bill Triggs , Olivier Parcollet , Xavier Waintal

We investigate the nonlinear growth of large-scale structure in the generalised Proca theory, in which a self-interacting massive vector field plays the role of driving the acceleration of the cosmic expansion. Focusing to the Proca…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-11 Christoph Becker , Christian Arnold , Baojiu Li , Lavinia Heisenberg

Recent advances enable the simultaneous computation of both attracting and repelling families of Lagrangian Coherent Structures (LCS) at the same initial or final time of interest. Obtaining LCS positions at intermediate times, however, has…

Dynamical Systems · Mathematics 2019-01-29 Daniel Karrasch , Mohammad Farazmand , George Haller

Cosmological N-body simulations are crucial for understanding how the Universe evolves. Studying large-scale distributions of matter in these simulations and comparing them to observations usually involves detecting dense clusters of…

Astrophysics of Galaxies · Physics 2019-12-25 Aidan Reilly , Nikita Ivkin , Gerard Lemson , Vladimir Braverman , Alexander Szalay
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