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The classical problem of three-wave mixing in a nonlinear optical medium is investigated using the homotopy analysis method (HAM). We show that the power series basis builds a generic polynomial expression that can be used to study…

Optics · Physics 2022-12-23 Nathan J. Dawson , Moussa Kounta

In this paper, we predict the covariance matrices of both the power spectrum and the bispectrum, including full non-Gaussian contributions, redshift space distortions, linear bias effects and shot-noise corrections, using perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-15 Naonori S. Sugiyama , Shun Saito , Florian Beutler , Hee-Jong Seo

We investigate dark matter halo properties as a function of a time--varying dark energy equation of state. The dynamics of the collapse of the halo is governed by the form of the quintessence potential, the time evolution of its equation of…

Astrophysics · Physics 2009-05-04 David F. Mota

We study the impact of different bias and redshift-space models on the halo power spectrum, quantifying their effect by comparing the fit to a subset of realizations taken from the WizCOLA suite. These provide simulated power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-16 Lucia Fonseca de la Bella , Donough Regan , David Seery , David Parkinson

The statistical translation invariance of cosmological random fields is broken by a finite survey boundary, correlating the observable Fourier modes. Standard methods for generating Gaussian fields either neglect these correlations, or are…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Julien Carron , Melody Wolk , Istvan Szapudi

Measuring the clustering of galaxies from surveys allows us to estimate the power spectrum of matter density fluctuations, thus constraining cosmological models. This requires careful modelling of observational effects to avoid…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-26 Daniele Sorini

We present the analysis of the halo bispectrum in redshift-space in terms of its multipoles, monopole, quadrupole and hexadecapole, measured from a large set of simulations. We fit such measurements with a tree-level model in perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-01 Federico Rizzo , Chiara Moretti , Kevin Pardede , Alexander Eggemeier , Andrea Oddo , Emiliano Sefusatti , Cristiano Porciani , Pierluigi Monaco

Multivariate spatial field data are increasingly common and whose modeling typically relies on building cross-covariance functions to describe cross-process relationships. An alternative viewpoint is to model the matrix of spectral…

Statistics Theory · Mathematics 2015-05-07 William Kleiber

We study the accuracy of several approximate methods for gravitational dynamics in terms of halo power spectrum multipoles and their estimated covariance matrix. We propagate the differences in covariances into parameter constrains related…

The halo model (HM) describes the inhomogeneous universe as a collection of halos. The full nonlinear power spectrum of the universe is well approximated by the HM, whose prediction can be easily computed without lengthy numerical…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-07 Kimmo Kainulainen , Valerio Marra

We provide a quantitative analysis of the halo model in the context of massive neutrino cosmologies. We discuss all the ingredients necessary to model the non-linear matter and cold dark matter power spectra and compare with the results of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Elena Massara , Francisco Villaescusa-Navarro , Matteo Viel

In stochastic simulation, input uncertainty refers to the output variability arising from the statistical noise in specifying the input models. This uncertainty can be measured by a variance contribution in the output, which, in the…

Methodology · Statistics 2021-05-20 Henry Lam , Huajie Qian

Upcoming 21cm surveys will map the spatial distribution of cosmic neutral hydrogen (HI) over unprecedented volumes. Mock catalogues are needed to fully exploit the potential of these surveys. Standard techniques employed to create these…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-02 Digvijay Wadekar , Francisco Villaescusa-Navarro , Shirley Ho , Laurence Perreault-Levasseur

We present an analytical expression that gives both the matter and tracer (halo or galaxy) power spectrum with 1-loop corrections that include the neutrino effects on the mode coupling kernels. We use the FFTLog algorithm to accelerate…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-12 Farshad Kamalinejad , Zachary Slepian

We investigate and quantify the impact of mixed (cold and warm) dark matter models on large-scale structure observables. In this scenario, dark matter comes in two phases, a cold one (CDM) and a warm one (WDM): the presence of the latter…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-04 G. Parimbelli , G. Scelfo , S. K. Giri , A. Schneider , M. Archidiacono , S. Camera , M. Viel

Rotation curves are the key observational manifestation of the dark matter distribution around late-type galaxies. In a halo model context, the precision of constraints on halo parameters is a complex function of the properties of the…

Astrophysics of Galaxies · Physics 2024-02-27 Tariq Yasin , Harry Desmond , Julien Devriendt , Adrianne Slyz

In a regression model, prediction is typically performed after model selection. The large variability in the model selection makes the prediction unstable. Thus, it is essential to reduce the variability in model selection and improve…

Computation · Statistics 2024-04-11 Wataru Yoshida , Kei Hirose

We measure the clustering of dark matter halos in a large set of collisionless cosmological simulations of the flat LCDM cosmology. Halos are identified using the spherical overdensity algorithm, which finds the mass around isolated peaks…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Jeremy L. Tinker , Brant E. Robertson , Andrey V. Kravtsov , Anatoly Klypin , Michael S. Warren , Gustavo Yepes , Stefan Gottlober

We characterize the baryon acoustic oscillations (BAO) feature in halo two-point statistics using N-body simulations. We find that nonlinear damping of the BAO signal is less severe for halos in the mass range we investigate than for dark…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Qiao Wang , Hu Zhan