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We study the reconstruction of the cosmic rotation power spectrum produced by parity-violating physics, with an eye to ongoing and near future cosmic microwave background (CMB) experiments such as BICEP Array, CMBS4, LiteBIRD and Simons…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-27 Toshiya Namikawa

We present an expression for the nonlinear evolution of the cosmological power spectrum based on following Lagrangian trajectories. This is simplified using the Zel'dovich approximation to trace particle displacements, assuming Gaussian…

Astrophysics · Physics 2015-06-24 A. N. Taylor , A. J. S. Hamilton

We present a comprehensive full-sky 3-dimensional analysis of the weak-lensing fields and their corresponding power spectra. Using the formalism of spin-weight spherical harmonics and spherical Bessel functions, we relate the two-point…

Astrophysics · Physics 2009-11-10 P. G. Castro , A. F. Heavens , T. D. Kitching

Galaxy redshift surveys are subject to incompleteness and inhomogeneous sampling due to the various constraints inherent to spectroscopic observations. This can introduce systematic errors on the summary statistics of interest, which need…

Spectroscopic redshift errors, including redshift uncertainty and catastrophic failures, can bias cosmological measurements from galaxy redshift surveys at sub-percent level. In this work, we investigate their impact on the full-shape…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-17 Shengyu He , Jiaxi Yu , Antoine Rocher , Daniel Forero-Sánchez , Jean-Paul Kneib , Cheng Zhao , Etienne Burtin , Jiamin Hou

I propose an analysis method, based on spin-spherical harmonics and spherical Bessel functions, for large-scale weak lensing surveys which have source distance information through photometric redshifts. I show that the distance information…

Astrophysics · Physics 2009-11-07 Alan Heavens

In this paper, we introduce a frequency-domain approach to extract information on the trajectory of a moving point source. The method hinges on the analysis of multi-frequency near-field data recorded at one and sparse observation points in…

Numerical Analysis · Mathematics 2025-08-25 Guanqiu Ma , Hongxia Guo , Guanghui Hu

Second-order structure functions and power spectral densities are popular tools in the study of statistical properties across scales, particularly for the analysis of turbulent flows. Although intimately related, analyses primarily use one…

Fluid Dynamics · Physics 2026-02-16 Mark A. Bishop , Sean Oughton , Tulasi N. Parashar , Yvette C. Perrott

We introduce a novel statistic to probe the statistics of phases of Fourier modes in two-dimensions (2D) for weak lensing convergence field $\kappa$. This statistic contains completely independent information compared to that contained in…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-12 D. Munshi , R. Takahashi , J. D. McEwen , T. D. Kitching , F. R. Bouchet

Clustering of the large scale structure provides complementary information to the measurements of the cosmic microwave background anisotropies through power spectrum and bispectrum of density perturbations. Extracting the bispectrum…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-19 Ji-Ping Dai , Licia Verde , Jun-Qing Xia

Threshold biasing of a Gaussian random field gives a linear amplification of the reduced two point correlation function at large distances. We show that for standard cosmological models this does not translate into a linear amplification of…

Astrophysics · Physics 2009-11-07 Ruth Durrer , Andrea Gabrielli , Michael Joyce , Francesco Sylos Labini

We examine the properties of a recently proposed observationally viable alternative to homogeneous cosmology with smooth dark energy, the timescape cosmology. In the timescape model cosmic acceleration is realized as an apparent effect…

Cosmology and Nongalactic Astrophysics · Physics 2009-12-30 David L. Wiltshire

We present a novel cosmological analysis based on the angular correlation dimension $D_2$ curve, a cumulative statistic derived from the two-point correlation function. Unlike traditional 3D approaches, angular $D_2$ is inherently less…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-28 Xiaoyun Shao , Rodrigo Gonçalves , Carlos A. P. Bengaly , Gabriela C. Carvalho , Jailson Alcaniz

We present the one-loop 2-point function of biased tracers in redshift space computed with Lagrangian perturbation theory, including a full resummation of both long-wavelength (infrared) displacements and associated velocities. The…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-14 Shi-Fan Chen , Zvonimir Vlah , Emanuele Castorina , Martin White

In order to test the expansion of the universe and its geometry, we carry out an Alcock & Paczynski cosmological test, that is, an evaluation of the ratio of observed angular size to radial/redshift size. The main advantage of this test is…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Martin Lopez-Corredoira

Cosmological analyses of second-order weak lensing statistics require precise and accurate covariance estimates. These covariances are impacted by two sometimes neglected terms: A negative contribution to the Gaussian covariance due to…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-04 Laila Linke , Pierre A. Burger , Sven Heydenreich , Lucas Porth , Peter Schneider

We present high signal-to-noise measurements of the acoustic scale in the presence of nonlinear growth and redshift distortions using 320(Gpc/h)^3 of cosmological PM simulations. Using simple fitting methods, we obtain robust measurements…

Astrophysics · Physics 2009-08-21 Hee-Jong Seo , Ethan R. Siegel , Daniel J. Eisenstein , Martin White

We present a spectral-theoretic approach to time-average statistical mechanics for general, non-equilibrium initial conditions. We consider the statistics of bounded, local additive functionals of reversible as well as irreversible ergodic…

Statistical Mechanics · Physics 2020-10-21 Alessio Lapolla , David Hartich , Aljaž Godec

We propose a new strategy to probe the power spectrum on large scales using galaxy peculiar velocities. We explore the properties of surveys that cover only two small fields in opposing directions on the sky. Surveys of this type have…

Astrophysics · Physics 2009-10-30 Hume A. Feldman , Richard Watkins
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