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We develop a framework to compute the redshift space power spectrum (PS), with kernels beyond Einstein-de Sitter (EdS), that can be applied to a wide variety of generalized cosmologies. We build upon a formalism that was recently employed…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-16 Alejandro Aviles , Georgios Valogiannis , Mario A. Rodriguez-Meza , Jorge L. Cervantes-Cota , Baojiu Li , Rachel Bean

Upcoming Large Scale Structure surveys aim to achieve an unprecedented level of precision in measuring galaxy clustering. However, accurately modeling these statistics may require theoretical templates that go beyond second-order…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-21 M. Icaza-Lizaola , Yong-Seon Song , Minji Oh , Yi Zheng

In this paper we consider methods of analysis and optimal design of redshift surveys. In the first part, we develop a formalism for analysing galaxy redshift surveys which are essentially two-dimensional, such as thin declination slices.…

Astrophysics · Physics 2015-06-24 A. F. Heavens , A. N. Taylor

This paper studies the scale and redshift variation of density and velocity distributions in self-gravitating collisionless dark matter flow by a halo-based non-projection approach. All particles are divided into halo and out-of-halo…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-28 Zhijie Xu

The non-linear, scale-dependent bias in the mass distribution of galaxies and the underlying dark matter is a key systematic affecting the extraction of cosmological parameters from galaxy clustering. Using 95 million halos from the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Elise Jennings , Carlton M. Baugh , Dylan Hatt

The power spectrum estimator based on the discrete wavelet transform (DWT) for 3-dimensional samples has been studied. The DWT estimator for multi-dimensional samples provides two types of spectra with respect to diagonal and off-diagonal…

Astrophysics · Physics 2009-11-06 Xiao-Hu Yang , Long-Long Feng , Yao-Quan Chu , Li-Zhi Fang

We present a Neural Network based emulator for the galaxy redshift-space power spectrum that enables several orders of magnitude acceleration in the galaxy clustering parameter inference, while preserving 3$\sigma$ accuracy better than…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-03 Svyatoslav Trusov , Pauline Zarrouk , Shaun Cole

We develop an analytical forward model based on perturbation theory to predict the redshift-space galaxy overdensity at the field level given a realization of the initial conditions. We find that the residual noise between the model and…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-02 Marcel Schmittfull , Marko Simonović , Mikhail M. Ivanov , Oliver H. E. Philcox , Matias Zaldarriaga

Redshift space distortions in galaxy clustering offer a promising technique for probing the growth rate of structure and testing dark energy properties and gravity. We consider the issue of to what accuracy they need to be modeled in order…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-19 Eric V. Linder , Johan Samsing

We present a new method for extracting the true 3-d velocity and density fields from the nonlinear redshift--space projected density field. The method is based on the nonlinear, nonlocal transformation of the density field. We assume a…

Astrophysics · Physics 2015-06-24 A. N. Taylor , M. Rowan-Robinson

We propose a UNet-based deep learning model to reconstruct the real-space dark matter (DM) velocity field from the redshift-space distribution of sparse DM halos. Using various statistical measures, we show that the reconstructed velocity…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-26 Xu Xiao , Jiacheng Ding , XiaoLin Luo , Sun Ke Lan , Liang Xiao , Shuai Liu , Xin Wang , Le Zhang , Xiao-Dong Li

The power spectrum of the two-degree Field Galaxy Redshift Survey (2dFGRS) sample is estimated with the discrete wavelet transform (DWT) method. The DWT power spectra within $0.04 <k< 2.3 h$Mpc$^{-1}$ are measured for three volume-limited…

Astrophysics · Physics 2008-11-26 Yan-Chuan Cai , Jun Pan , Yong-Heng Zhao , Long-Long Feng , Li-Zhi Fang

We propose a strategy to measure the dark matter power spectrum using minimal assumptions about the galaxy distribution and the galaxy-dark matter cross-correlations. We argue that on large scales the central limit theorem generically…

Astrophysics · Physics 2009-10-30 Ue-Li Pen

A lot of predictions for the statistical properties of the cosmic velocity field at large-scale have been obtained recently using perturbation theory. In this contribution I report the outcomes of a set of numerical tests that aim to check…

Astrophysics · Physics 2007-05-23 Francis Bernardeau

We use N-body simulations to test the predictions of the redshift distortion in the power spectrum given by the halo model in which the clustering of dark matter particles is considered as a result both of the clustering of dark halos in…

Astrophysics · Physics 2009-11-07 Xi. Kang , Y. P. Jing , H. J. Mo , G. Borner

Measurements of galaxy distributions at large cosmic distances capture clustering from the past. In this study, we use a cosmological model to translate these observations into the present-day galaxy distribution. Specifically, we…

The contribution of line-of-sight peculiar velocities to the observed redshift of objects breaks the translational symmetry of the underlying theory, modifying the predicted 2-point functions. These `wide angle effects' have mostly been…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-11 Emanuele Castorina , Martin White

The power spectrum of density fluctuations measured from galaxy redshift surveys provides important constraints on models for the formation of large-scale structure. I review current results for the 3-D power spectrum and examine the…

Astrophysics · Physics 2007-05-23 Michael S. Vogeley

The line-of-sight peculiar velocities of galaxies contribute to their observed redshifts, breaking the translational invariance of galaxy clustering down to a rotational invariance around the observer. This becomes important when the…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-29 Emanuele Castorina , Martin White

The observed power spectrum in redshift space appears distorted due to the peculiar motion of galaxies, known as redshift-space distortions (RSD). While all the effects in RSD are accounted for by the simple mapping formula from real to…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-25 Yong-Seon Song , Yi Zheng , Atsushi Taruya , Minji Oh