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In measuring the power spectrum of the distribution of large numbers of dark matter particles in simulations, or galaxies in observations, one has to use Fast Fourier Transforms (FFT) for calculational efficiency. However, because of the…

Astrophysics · Physics 2009-11-13 Weiguang Cui , Lei Liu , Xiaohu Yang , Yu Wang , Longlong Feng , Volker Springel

As galaxy redshift surveys expand to larger areas on the sky, effects coming from the curved nature of the sky become important, introducing wide-angle (WA) corrections to the power spectrum multipoles at large galaxy-pair separations.…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-09 Joshua N. Benabou , Isabel Sands , Henry S. Grasshorn Gebhardt , Chen Heinrich , Olivier Doré

The Effective Field Theory of Large-Scale Structure (EFTofLSS) provides a novel formalism that is able to accurately predict the clustering of large-scale structure (LSS) in the mildly non-linear regime. Here we provide the first…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-31 Ashley Perko , Leonardo Senatore , Elise Jennings , Risa H. Wechsler

We measure the power spectrum of galaxy clustering in real space from the APM Galaxy Survey. We present an improved technique for the numerical inversion of Limber's equation that relates the angular clustering of galaxies to an integral…

Astrophysics · Physics 2009-11-07 N. D. Padilla , C. M. Baugh

We develop a new way to analytically calculate loop integrals in the Effective Field Theory of Large Scale-Structure. Previous available methods show severe limitations beyond the one-loop power spectrum due to analytical challenges and…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-15 Charalampos Anastasiou , Diogo P. L. Bragança , Leonardo Senatore , Henry Zheng

An implementation of the fast multiple method (FMM) is performed for magnetic systems with long-ranged dipolar interactions. Expansion in spherical harmonics of the original FMM is replaced by expansion of polynomials in Cartesian…

Computational Physics · Physics 2015-05-13 Wen Zhang , Stephan Haas

In this work we present a variant of the fast multipole method (FMM) for efficiently evaluating standard layer potentials on geometries with complex coordinates in two and three dimensions. The complex scaled boundary integral method for…

Numerical Analysis · Mathematics 2025-10-20 Tristan Goodwill , Leslie Greengard , Jeremy Hoskins , Manas Rachh , Yuguan Wang

We forecast the benefits induced by adding the bispectrum anisotropic signal to the standard, two- and three-point, clustering statistics analysis. In particular, we forecast cosmological parameter constraints including the bispectrum…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-22 Davide Gualdi , Licia Verde

Weak lensing of CMB anisotropies and polarization for the power spectra and higher order statistics can be handled directly in harmonic-space without recourse to real-space correlation functions. For the power spectra, this approach not…

Astrophysics · Physics 2009-10-31 Wayne Hu

We present the 2-point function from Fast and Accurate Spherical Bessel Transformation (2-FAST) algorithm for a fast and accurate computation of integrals involving one or two spherical Bessel functions. These types of integrals occur when…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-17 Henry S. Grasshorn Gebhardt , Donghui Jeong

Galaxy-galaxy weak lensing provides a powerful means of measuring the average matter distribution around lens galaxies -- i.e., the galaxy bias relation. Properly accounting for the spin-2 nature of weak lensing distortions, we develop a…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-28 Taisei Terawaki , Masahiro Takada , Takanori Taniguchi

We study an efficient way to enhance the measurability of the galaxy density and/or velocity power spectrum in redshift space. It is based on the angular decomposition with the Tripolar spherical harmonic (TripoSH) basis and applicable even…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-04 Maresuke Shiraishi , Teppei Okumura , Naonori S. Sugiyama , Kazuyuki Akitsu

We reinterpret the shear estimator developed by Zhang & Komatsu (2011) within the framework of Shapelets and propose the Fourier Power Function Shapelets (FPFS) shear estimator. Four shapelet modes are calculated from the power function of…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-12 Xiangchong Li , Nobuhiko Katayama , Masamune Oguri , Surhud More

In this letter, a fast Fourier transform (FFT)-enhanced low-complexity super-resolution sensing algorithm for near-field source localization with both angle and range estimation is proposed. Most traditional near-field source localization…

Signal Processing · Electrical Eng. & Systems 2024-11-26 Yuxiao Wu , Huizhi Wang , Yong Zeng

Precision measurements of the galaxy power spectrum P(k) require a data analysis pipeline that is both fast enough to be computationally feasible and accurate enough to take full advantage of high-quality data. We present a rigorous…

Astrophysics · Physics 2009-10-07 Max Tegmark , Andrew Hamilton , Michael Strauss , Michael Vogeley , Alexander Szalay

We present a new algorithm to rapidly and optimally compute power spectra. This new algorithm is based on a generalization of iterative multigrid, and has computational cost O(N log N), compared to the standard brute force approach which…

Astrophysics · Physics 2009-11-07 Ue-Li Pen

We use an iterative generalized least squares map-making algorithm, in conjunction with Monte Carlo techniques, to obtain estimates of the angular power spectrum from cosmic microwave background (CMB) maps. This is achieved by…

Astrophysics · Physics 2009-11-07 A. Balbi , G. de Gasperis , P. Natoli , N. Vittorio

We present an optimised multipole algorithm for computing the three-point correlation function (3PCF), tailored for application to large-scale cosmological datasets. The algorithm builds on a $in\, situ$ interpretation of correlation…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Wenjie Ju , Longlong Feng , Zhiqi Huang , Xin Sun , Weishan Zhu

We analyze the BOSS power spectrum monopole and quadrupole, and the bispectrum monopole and quadrupole data, using the predictions from the Effective Field Theory of Large-Scale Structure (EFTofLSS). Specifically, we use the one loop…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-21 Guido D'Amico , Yaniv Donath , Matthew Lewandowski , Leonardo Senatore , Pierre Zhang

When analyzing the galaxy bispectrum measured from spectroscopic surveys, it is imperative to account for the effects of non-uniform survey geometry. Conventionally, this is done by convolving the theory model with the the window function;…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-05 Oliver H. E. Philcox