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We present non-Gaussianity testing on recently-released derived maps from the first-year WMAP data by Tegmark, de Oliveria-Costa and Hamilton. Our test is based on a phase mapping technique which has the advantage of testing non-Gaussianity…

Astrophysics · Physics 2009-11-07 Lung-Yih Chiang , Pavel D. Naselsky , Oleg V. Verkhodanov , Michael J. Way

We study the ability of future weak lensing (WL) surveys to constrain primordial non-Gaussianity of the local type. We use a large ensemble of simulated WL maps with survey specifications relevant to Euclid and LSST. The simulations assume…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-05 Stefan Hilbert , Laura Marian , Robert E. Smith , Vincent Desjacques

We study the Likelihood function of data given f_NL for the so-called local type of non-Gaussianity. In this case the curvature perturbation is a non-linear function, local in real space, of a Gaussian random field. We compute the…

Astrophysics · Physics 2010-10-27 Paolo Creminelli , Leonardo Senatore , Matias Zaldarriaga

Constraining primordial non-Gaussianities (PNGs) in the large-scale cosmic structure (LSS) is an important step in understanding properties of the early universe, specifically in distinguishing between different inflationary models.…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-14 Ethan Vislosky , Zachery Brown , Regina Demina , Edmond Chaussidon

The lensing convergence field describing the weak lensing effect of the Cosmic Microwave Background (CMB) radiation is expected to be subject to mild deviations from Gaussianity. We perform a suite of full-sky lensing simulations using ray…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-18 Jan Hamann , Yuqi Kang

The cosmic microwave background (CMB) temperature bispectrum is currently the most precise tool for constraining primordial non-Gaussianity (NG). The Planck temperature data tightly constrain the amplitude of local-type NG: $f_{\rm NL}^{\rm…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-06 J. Colin Hill

We describe the details of the binned bispectrum estimator as used for the official 2013 and 2015 analyses of the temperature and polarization CMB maps from the ESA Planck satellite. The defining aspect of this estimator is the…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-02 Martin Bucher , Benjamin Racine , Bartjan van Tent

We study quantum anomaly detection with density estimation and multivariate Gaussian distribution. Both algorithms are constructed using the standard gate-based model of quantum computing. Compared with the corresponding classical…

Quantum Physics · Physics 2019-06-26 Jin-Ming Liang , Shu-Qian Shen , Ming Li , Lei Li

Using a semi-parametric approach based on the fourth-order Edgeworth expansion for the unknown signal distribution, we derive an explicit expression for the likelihood detection statistic in the presence of non-normally distributed…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Lionel Martellini , Tania Regimbau

In this article, we study Bayesian inverse problems with multi-layered Gaussian priors. We first describe the conditionally Gaussian layers in terms of a system of stochastic partial differential equations. We build the computational…

Statistics Theory · Mathematics 2020-06-30 Muhammad Emzir , Sari Lasanen , Zenith Purisha , Lassi Roininen , Simo Särkkä

A convincing detection of primordial non-Gaussianity in the local form of the bispectrum, whose amplitude is given by the fNL parameter, offers a powerful test of inflation. In this paper we calculate the modification of two-point…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Donghui Jeong , Eiichiro Komatsu , Bhuvnesh Jain

We measure two higher-order power spectra involving weighted cubic and squared temperature anisotropy maps from WMAP 5-year data to study the trispectrum generated by primordial non-Gaussianity. Using these measurements combined with…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-05 Joseph Smidt , Alexandre Amblard , Asantha Cooray , Alan Heavens , Dipak Munshi , Paolo Serra

We analyse the clustering of 22,361 quasars between redshift 2.2 < z < 2.9 observed with the Sloan Digital Sky Survey (SDSS)-III Baryon Oscillation Spectroscopic Survey (BOSS), which are included in the ninth data release (DR9). We fit the…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-30 Dionysios Karagiannis , Tom Shanks , Nicholas P. Ross

Whilst current observational evidence favors a close-to-Gaussian spectrum of primordial perturbations, there exist many models of the early Universe that predict this distribution to have exponentially enhanced or suppressed tails. In this…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-25 William R. Coulton , Oliver H. E. Philcox , Francisco Villaescusa-Navarro

We estimate the magnitude of the bias due to non-Gaussian extragalactic foregrounds on the optimal reconstruction of the cosmic microwave background (CMB) lensing potential and temperature power spectra. The reconstruction is performed…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-25 M. Doohan , M. Millea , S. Raghunathan , F. Ge , L. Knox , K. Prabhu , C. L. Reichardt , W. L. K. Wu

We have made a Markov Chain Monte Carlo (MCMC) analysis of primordial non-Gaussianity (f_NL) using the WMAP bispectrum and power spectrum. In our analysis, we have simultaneously constrained f_NL and cosmological parameters so that the…

Cosmology and Nongalactic Astrophysics · Physics 2011-04-27 Jaiseung Kim

We describe an algorithm to generate temperature and polarization maps of the cosmic microwave background radiation containing non-Gaussianity of arbitrary local type. We apply an optimized quadrature scheme that allows us to predict and…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-04 Franz Elsner , Benjamin D. Wandelt

The identification of non-Gaussian signatures in cosmic microwave background (CMB) temperature maps is one of the main cosmological challenges today. We propose and investigate altenative methods to analyse CMB maps. Using the technique of…

Astrophysics · Physics 2009-11-07 C. Raeth , P. Schuecker

We study the impact of the cosmological parameters uncertainties on the measurements of primordial non-Gaussianity through the large-scale non-Gaussian halo bias effect. While this is not expected to be an issue for the standard LCDM model,…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Carmelita Carbone , Olga Mena , Licia Verde

In this paper we fully calculate the non-Gaussianity of primordial curvature perturbation of island universe by using the second order perturbation equation. We find that for the spectral index $n_s\simeq 0.96$, which is favored by current…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Yun-Song Piao