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Can local fluctuations of a ``Quintessence'' scalar field play a dynamical role in the gravitational clustering and cosmic structure formation process? We address this question in the general framework of scalar-tensor theories of gravity.…

Astrophysics · Physics 2009-11-10 F. Perrotta , S. Matarrese , M. Pietroni , C. Schimd

We report MC calculations of perturbative coefficients for lattice scalar field theory in dimensions 1, 2 and 3, where the large field contributions are cutoff. This produces converging (instead of asymptotic) perturbative series. We…

High Energy Physics - Lattice · Physics 2007-05-23 L. Li , Y. Meurice

Statistical inference in high dimensional settings has recently attracted enormous attention within the literature. However, most published work focuses on the parametric linear regression problem. This paper considers an important…

Methodology · Statistics 2019-11-14 Qi Gao , Randy C. S. Lai , Thomas C. M. Lee , Yao Li

Recent observations suggest that the accelerated expansion of the Universe at late times is caused by a temporally changing dark energy component, rather than the constant one in the standard $\Lambda$CDM scenario. In this context…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Artur Alho , Elsa Bernholm , Claes Uggla

General exact solution is obtained for the problem of the development of arbitrary disturbances of the density and velocity in a (1+1)-dimensional universe. This analytical solution may serve, particularly, as a test for numerical methods.…

General Physics · Physics 2010-01-22 E. A. Novikov

We analyze the Minkowski functionals with a large $N$-body simulation of a standard $\Lambda$CDM model, focusing on transition scales between linear and non-linear gravitational evolution. We numerically calculate the Minkowski functionals…

Astrophysics · Physics 2007-05-23 Takamichi Nakagami , Takahiko Matsubara , Jens Schmalzing , Yipeng Jing

In this paper we analyze the approximation of multivariate integrals over the Euclidean plane for functions which are analytic. We show explicit upper bounds which attain the exponential rate of convergence. We use an infinite grid with…

Numerical Analysis · Mathematics 2018-03-19 Dong T. P. Nguyen , Dirk Nuyens

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

Cook's distance [Technometrics 19 (1977) 15-18] is one of the most important diagnostic tools for detecting influential individual or subsets of observations in linear regression for cross-sectional data. However, for many complex data…

Methodology · Statistics 2012-06-08 Hongtu Zhu , Joseph G. Ibrahim , Hyunsoon Cho

We consider a generalization of the quintessence type scalar field cosmological models, by adding a multiplicative dissipative term in the scalar field Lagrangian, which is represented in an exponential form. The generalized dissipative…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Tiberiu Harko

We study cosmological perturbations in the context of an interacting dark energy model, in which the cosmological term decays linearly with the Hubble parameter, with concomitant matter production. A previous joint analysis of the…

Astrophysics · Physics 2008-11-26 H. A. Borges , S. Carneiro , J. C. Fabris , C. Pigozzo

A new ensemble of structured codes is introduced. These codes are called Quasi Linear Codes (QLC). The QLC's are constructed by taking subsets of linear codes. They have a looser structure compared to linear codes and are not closed under…

Information Theory · Computer Science 2016-02-16 F. Shirani , M. Heidari , S. S. Pradhan

Conformal symmetry is broken in physical QCD; nevertheless, one can use conformal symmetry as a template, systematically correcting for its nonzero $\beta$ function as well as higher-twist effects. For example, commensurate scale relations…

High Energy Physics - Phenomenology · Physics 2017-08-23 Stanley J. Brodsky

Subhorizon approximation is often used in cosmological perturbation theory. In this paper, however, it is shown that the subhorizon approximation is not always a good approximation at least in case of $k$-essence model. We also show that…

High Energy Physics - Theory · Physics 2012-06-12 Kazuharu Bamba , Jiro Matsumoto , Shin'ichi Nojiri

Using continuum extrapolated lattice data we trace a family of running couplings in three-flavour QCD over a large range of scales from about 4 to 128 GeV. The scale is set by the finite space time volume so that recursive finite size…

High Energy Physics - Lattice · Physics 2018-06-13 Mattia Dalla Brida , Patrick Fritzsch , Tomasz Korzec , Alberto Ramos , Stefan Sint , Rainer Sommer

We calculate the lowest-order non-linear contributions to the power spectrum, two-point correlation function, and smoothed variance of the density field, for Gaussian initial conditions and scale-free initial power spectra, $P(k) \sim k^n$.…

Astrophysics · Physics 2009-10-28 Roman Scoccimarro , Josh Frieman

In this paper, a methodology for fine scale modeling of large scale structures is proposed, which combines the variational multiscale method, domain decomposition and model order reduction. The influence of the fine scale on the coarse…

Computational Engineering, Finance, and Science · Computer Science 2023-07-06 Philipp Diercks , Karen Veroy , Annika Robens-Radermacher , Jörg F. Unger

We use a complete and rigorous statistical indicator to measure the level of concordance between cosmological data sets, without relying on the inspection of the marginal posterior distribution of some selected parameters. We apply this…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-24 Marco Raveri

In order to quantify the error budget in the measured probability distribution functions of cell densities, the two-point statistics of cosmic densities in concentric spheres is investigated. Bias functions are introduced as the ratio of…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-08 Sandrine Codis , Francis Bernardeau , Christophe Pichon

We derive constraints on a coupled quintessence model with pure momentum exchange from the public $\sim$1000 deg$^2$ cosmic shear measurements from the Kilo-Degree Survey and the $\it{Planck}$ 2018 Cosmic Microwave Background data. We…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-16 A. Spurio Mancini , A. Pourtsidou