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The evolution of the large scale distribution of matter in the universe is often characterized by the density field. Here we take a complimentary approach and characterize it using the cosmic velocity field, specifically the deformation of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Noam I Libeskind , Yehuda Hoffman , Stefan Gottlöber

A key obstacle to developing a satisfying theory of galaxy evolution is the difficulty in extending analytic descriptions of early structure formation into full nonlinearity, the regime in which galaxy growth occurs. Extant techniques,…

The peculiar velocity field of the local Universe provides direct insights into its matter distribution and the underlying theory of gravity, and is essential in cosmological analyses for modelling deviations from the Hubble flow. Numerous…

A recently proposed linear-scaling scheme for density-functional pseudopotential calculations is described in detail. The method is based on a formulation of density functional theory in which the ground state energy is determined by…

mtrl-th · Physics 2009-10-28 E. Hernandez , C. M. Goringe , M. J. Gillan

In this paper, we consider rods whose thickness vary linearly between $\eps$ and $\eps^2$. Our aim is to study the asymptotic behavior of these rods in the framework of the linear elasticity. We use a decomposition method of the…

Analysis of PDEs · Mathematics 2016-05-26 Georges Griso , Manuel Villanueva Pesqueira

Emerging sampling algorithms based on normalizing flows have the potential to solve ergodicity problems in lattice calculations. Furthermore, it has been noted that flows can be used to compute thermodynamic quantities which are difficult…

High Energy Physics - Lattice · Physics 2023-10-02 Jan M. Pawlowski , Julian M. Urban

We propose a novel score-based particle method for solving the Landau equation in plasmas, that seamlessly integrates learning with structure-preserving particle methods [arXiv:1910.03080]. Building upon the Lagrangian viewpoint of the…

Numerical Analysis · Mathematics 2025-04-09 Yan Huang , Li Wang

We have developed a scanning photoluminescence technique that can directly map out the local two-dimensional electron density with a relative accuracy of $\sim2.2\times10^8$ cm$^{-2}$. The validity of this approach is confirmed by the…

Minimum divergence procedures based on the density power divergence and the logarithmic density power divergence have been extremely popular and successful in generating inference procedures which combine a high degree of model efficiency…

Statistics Theory · Mathematics 2022-11-10 Souvik Ray , Subrata Pal , Sumit Kumar Kar , Ayanendranath Basu

We present a new method of measuring the mass density along the line of sight, based on precise measurements of the variations of the times of arrival (TOA's) of electromagnetic signals propagating between two distant regions of spacetime.…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Mikołaj Korzyński , Jan Miśkiewicz , Julius Serbenta

Deep generative models are universal tools for learning data distributions on high dimensional data spaces via a mapping to lower dimensional latent spaces. We provide a study of latent space geometries and extend and build upon previous…

Machine Learning · Computer Science 2019-02-07 Max F. Frenzel , Bogdan Teleaga , Asahi Ushio

A local discontinuous Galerkin (LDG) method for approximating large deformations of prestrained plates is introduced and tested on several insightful numerical examples in our previous computational work. This paper presents a numerical…

Numerical Analysis · Mathematics 2021-12-20 Andrea Bonito , Diane Guignard , Ricardo Nochetto , Shuo Yang

Depinning of two-dimensional liquid ridges and three-dimensional drops on an inclined substrate is studied within the lubrication approximation. The structures are pinned to wetting heterogeneities arising from variations of the strength of…

Pattern Formation and Solitons · Physics 2011-12-30 Philippe Beltrame , Edgar Knobloch , Peter Hänggi , Uwe Thiele

Time delay lensing is a mature and competitive cosmological probe. However, it is limited in accuracy by the well-known problem of the mass-sheet degeneracy: too rigid assumptions on the density profile of the lens can potentially bias the…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 Alessandro Sonnenfeld

The complex relationship between the galaxy density field and the underlying matter field limits our ability to extract cosmological constraints from galaxy redshift surveys. Our approach is to use halos rather than galaxies to trace the…

Astrophysics · Physics 2009-08-12 Beth A. Reid , David N. Spergel , Paul Bode

Robust measurements of cosmological parameters from galaxy surveys rely on our understanding of systematic effects that impact the observed galaxy density field. In this paper we present, validate, and implement the idea of adopting the…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-20 Mehdi Rezaie , Hee-Jong Seo , Ashley J. Ross , Razvan C. Bunescu

We review different (reduced) models for thin structures using bending as principal mechanism to undergo large deformations. Each model consists in the minimization of a fourth order energy, potentially subject to a nonconvex constraint.…

Numerical Analysis · Mathematics 2023-05-25 Andrea Bonito , Diane Guignard , Angelique Morvant

We present measurements of the spatial clustering statistics in redshift space of various scalar field modified gravity simulations. We utilise the two-point and the three-point correlation functions to quantify the spatial distribution of…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-20 Cristiano G. Sabiu , David F. Mota , Claudio Llinares , Changbom Park

We examine the nature of galaxy clustering in redshift space using a method based on an expansion of the galaxian density field in Spherical Harmonics and linear theory. We derive a compact and self-consistent expression for the distortion…

Astrophysics · Physics 2007-05-23 Karl B. Fisher