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We study the effects of primordial non-Gaussianity on the large scale structure in the excursion set approach, accounting for correlations between steps of the random walks in the smoothed initial density field. These correlations are…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-23 Marcello Musso , Aseem Paranjape

We calculate the non-linear virialization density, $\Delta_c$, of halos under spherical collapse from peaks with an arbitrary initial and final density profile. This is in contrast to the standard calculation of $\Delta_c$ which assumes…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Douglas Rubin , Abraham Loeb

We perform a series of high-resolution N-body simulations of cosmological structure formation starting from Gaussian and non-Gaussian initial conditions. We adopt the best-fitting cosmological parameters of WMAP (3rd- and 5th-year) and we…

Astrophysics · Physics 2015-05-13 Annalisa Pillepich , Cristiano Porciani , Oliver Hahn

We present a model for the halo--mass correlation function that explicitly incorporates halo exclusion. We assume that halos trace mass in a way that can be described using a single scale-independent bias parameter. However, our model…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-26 Rafael Garcia , Eduardo Rozo , Matthew R. Becker , Surhud More

We study the local response to long wavelength fluctuations in cosmological $N$-body simulations, focusing on the matter and halo power spectra, halo abundance and non-linear transformations of the density field. The long wavelength mode is…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-21 Tobias Baldauf , Uroš Seljak , Leonardo Senatore , Matias Zaldarriaga

We formulate the statistics of peaks of non-Gaussian random fields and implement it to study the sphericity of peaks. For non-Gaussianity of the local type, we present a general formalism valid regardless of how large the deviation from…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-03 Cristiano Germani , Mohammad Ali Gorji , Michiru Uwabo-Niibo , Masahide Yamaguchi

We investigate the effects of galaxy formation on the baryonic acoustic oscillations (BAO) peak by applying semi-analytic modelling techniques to the Millennium-XXL, a $3 \times 10^{11}$ particle N-body simulation of similar volume to the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Raul E. Angulo , Simon D. M. White , Volker Springel , Bruno Henriques

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

We develop perturbation theory approaches to model the marked correlation function constructed to up-weight low density regions of the Universe, which might help distinguish modified gravity models from the standard cosmology model based on…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-15 Alejandro Aviles , Kazuya Koyama , Jorge L. Cervantes-Cota , Hans A. Winther , Baojiu Li

Pearson's $\rho$ is the most used measure of statistical dependence. It gives a complete characterization of dependence in the Gaussian case, and it also works well in some non-Gaussian situations. It is well known, however, that it has a…

Statistics Theory · Mathematics 2018-09-28 Dag Tjøstheim , Håkon Otneim , Bård Støve

We present a method, based on the correlation function of excursion sets above a given threshold, to test the Gaussianity of the CMB temperature fluctuations in the sky. In particular, this method can be applied to discriminate between…

Astrophysics · Physics 2009-10-30 R. B. Barreiro , J. L. Sanz , E. Martinez-Gonzalez , J. Silk

Some beyond $\Lambda$CDM cosmological models have dark-sector energy densities that suffer phase transitions. Fluctuations entering the horizon during such a transition can receive enhancements that ultimately show up as a distinctive bump…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-11 Dante V. Gomez-Navarro , Alexander Mead , Alejandro Aviles , Axel de la Macorra

We compute the effect of primordial non-Gaussianity on the halo mass function, using excursion set theory. In the presence of non-Gaussianity the stochastic evolution of the smoothed density field, as a function of the smoothing scale, is…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-18 Michele Maggiore , Antonio Riotto

We use 12 large quasar group (LQG) samples to investigate the homogeneity of $0.5\lesssim z \lesssim 2$ Universe ($z$ denotes the redshift). We calculate the bias factor $b$ and the two-point correlation function $\xi_{{\rm LQG}}$ for such…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-20 Ming-Hua Li , Zhi-Bing Li

We investigate the performance of an analytic model of the 3D matter distribution, which combines perturbation theory with halo models, for weak-lensing configuration-space statistics. We compared our predictions for the weak-lensing…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Patrick Valageas , Masanori Sato , Takahiro Nishimichi

Primordial non-Gaussianity (PNG) is a common prediction of a wide class of inflationary models. Equilateral-type PNG, generically predicted by single-field inflationary models with higher-derivative interactions, imprints subtle but…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-19 Divij Sharma , James M. Sullivan , Kazuyuki Akitsu , Mikhail M. Ivanov

Primordial non-Gaussianity introduces a scale-dependent variation in the clustering of density peaks corresponding to rare objects. This variation, parametrized by the bias, is investigated on scales where a linear perturbation theory is…

Cosmology and Nongalactic Astrophysics · Physics 2011-04-22 Sirichai Chongchitnan , Joseph Silk

Dark matter haloes are biased tracers of the underlying dark matter distribution. We use a simple model to provide a relation between the abundance of dark matter haloes and their spatial distribution on large scales. Our model shows that…

Astrophysics · Physics 2008-11-26 Ravi K. Sheth , Giuseppe Tormen

The linear point, a purely geometric feature in the monopole of the two-point correlation function, has been proposed as an alternative standard ruler. Compared to the peak in the correlation function, it is more robust to late-time…

We compare analytic predictions for real and Fourier space two-point statistics for biased tracers from a variety of Lagrangian Perturbation Theory approaches against those from state of the art N-body simulations in $f(R)$ Hu-Sawicki and…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-29 Georgios Valogiannis , Rachel Bean
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