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The polarization of the Cosmic Microwave Background (CMB)is a powerful observational tool at hand for modern cosmology. It allows to break the degeneracy of fundamental cosmological parameters one cannot obtain using only anisotropy data…

Astrophysics · Physics 2009-11-07 M. V. Sazhin , G. Sironi , O. S. Khovanskaya

Much attention has been given to the problem of estimating cosmological parameters from the $C_l$ measured by future experiments. Many of the approaches which are being used either invoke poorly controlled approximations or are…

Astrophysics · Physics 2007-05-23 Benjamin D. Wandelt , Eric Hivon , Krzysztof M. Gorski

The angular power spectrum of the cosmic microwave background (CMB) contains information on virtually all cosmological parameters of interest, including the geometry of the Universe ($\Omega$), the baryon density, the Hubble constant ($h$),…

Astrophysics · Physics 2009-10-28 Gerard Jungman , Marc Kamionkowski , Arthur Kosowsky , David N. Spergel

Weak lensing of galaxies by large scale structure can potentially measure cosmological quantities as accurately as the cosmic microwave background (CMB). However, the relation between observables and fundamental parameters is more complex…

Astrophysics · Physics 2009-10-31 Wayne Hu , Max Tegmark

Despite the fact that the physics of the cosmic microwave background anisotropies is most naturally expressed in Fourier space, pixelised maps are almost always used in the analysis and simulation of microwave data. A complementary approach…

The Cosmic Microwave Background (CMB) anisotropy constrains the geometry of the Universe because the positions of the acoustic peaks of the angular power spectrum depend strongly on the curvature of underlying three-dimensional space. In…

Astrophysics · Physics 2009-11-13 J. Dunkley , M. Bucher , P. G. Ferreira , K. Moodley , C. Skordis

A new gridding technique for the solution of partial differential equations in cubical geometry is presented. The method is based on volume penalization, allowing for the imposition of a cubical geometry inside of its circumscribing sphere.…

Computational Physics · Physics 2019-04-01 Keaton J. Burns , Daniel Lecoanet , Geoffrey M. Vasil , Jeffrey S. Oishi , Benjamin P. Brown

HEALPix -- the Hierarchical Equal Area iso-Latitude Pixelization -- is a versatile data structure with an associated library of computational algorithms and visualization software that supports fast scientific applications executable…

Astrophysics · Physics 2011-05-05 K. M. Gorski , E. Hivon , A. J. Banday , B. D. Wandelt , F. K. Hansen , M. Reinecke , M. Bartelman

Cosmological gravitational microlensing is a useful technique for understanding the structure of the inner parts of a quasar, especially the accretion disk and the central supermassive black hole. So far, most of the cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-03 Georgios Vernardos , Christopher J. Fluke

We study a possibility of constraining isotropic cosmic birefringence with help of cosmic microwave background polarisation data in the presence of polarisation angle miscalibration without relying on any assumptions about the Galactic…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-13 Baptiste Jost , Josquin Errard , Radek Stompor

We discuss in some details a novel algorithm for performing partial-sky spherical harmonic transforms (SHT), building on the Fourier-sphere method of Reinecke et al (2023) handling efficiently high numbers of arbitrary locations on the…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-20 Julien Carron , Martin Reinecke

A sphere is a fundamental geometric object widely used in (computer aided) geometric design. It possesses rational parameterizations but no parametric polynomial parameterization exists. The present study provides an approach to the optimal…

Numerical Analysis · Mathematics 2021-04-27 Aleš Vavpetič , Emil Žagar

The measurement and characterization of the lensing of the cosmic microwave background (CMB) is key goal of the current and next generation of CMB experiments. We perform a case study of a three-channel balloon-borne CMB experiment…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-18 Yabebal Fantaye , Carlo Baccigalupi , Samuel Leach , Amit P. S. Yadav

We describe a system that builds a high dynamic-range and wide-angle image of the night sky by combining a large set of input images. The method makes use of pixel-rank information in the individual input images to improve a "consensus"…

Computer Vision and Pattern Recognition · Computer Science 2014-06-09 Dustin Lang , David W. Hogg , Bernhard Scholkopf

A flexible maximum-entropy component separation algorithm is presented that accommodates anisotropic noise, incomplete sky-coverage and uncertainties in the spectral parameters of foregrounds. The capabilities of the method are determined…

Lensing of the CMB is now a well-developed probe of large-scale clustering over a broad range of redshifts. By exploiting the non-Gaussian imprints of lensing in the polarization of the CMB, the CORE mission can produce a clean map of the…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-13 Anthony Challinor , Rupert Allison , Julien Carron , Josquin Errard , Stephen Feeney , Thomas Kitching , Julien Lesgourgues , Antony Lewis , Íñigo Zubeldía , Ana Achucarro , Peter Ade , Mark Ashdown , Mario Ballardini , A. J. Banday , Ranajoy Banerji , James Bartlett , Nicola Bartolo , Soumen Basak , Daniel Baumann , Marco Bersanelli , Anna Bonaldi , Matteo Bonato , Julian Borrill , François Bouchet , François Boulanger , Thejs Brinckmann , Martin Bucher , Carlo Burigana , Alessandro Buzzelli , Zhen-Yi Cai , Martino Calvo , Carla-Sofia Carvalho , Gabriella Castellano , Jens Chluba , Sebastien Clesse , Ivan Colantoni , Alessandro Coppolecchia , Martin Crook , Giuseppe d'Alessandro , Paolo de Bernardis , Giancarlo de Gasperis , Gianfranco De Zotti , Jacques Delabrouille , Eleonora Di Valentino , Jose-Maria Diego , Raul Fernandez-Cobos , Simone Ferraro , Fabio Finelli , Francesco Forastieri , Silvia Galli , Ricardo Genova-Santos , Martina Gerbino , Joaquin González-Nuevo , Sebastian Grandis , Joshua Greenslade , Steffen Hagstotz , Shaul Hanany , Will Handley , Carlos Hernandez-Monteagudo , Carlos Hervías-Caimapo , Matthew Hills , Eric Hivon , Kimmo Kiiveri , Ted Kisner , Martin Kunz , Hannu Kurki-Suonio , Luca Lamagna , Anthony Lasenby , Massimiliano Lattanzi , Michele Liguori , Valtteri Lindholm , Marcos López-Caniego , Gemma Luzzi , Bruno Maffei , Enrique Martinez-González , C. J. A. P. Martins , Silvia Masi , Darragh McCarthy , Alessandro Melchiorri , Jean-Baptiste Melin , Diego Molinari , Alessandro Monfardini , Paolo Natoli , Mattia Negrello , Alessio Notari , Alessandro Paiella , Daniela Paoletti , Guillaume Patanchon , Michel Piat , Giampaolo Pisano , Linda Polastri , Gianluca Polenta , Agnieszka Pollo , Vivian Poulin , Miguel Quartin , Mathieu Remazeilles , Matthieu Roman , Jose-Alberto Rubino-Martin , Laura Salvati , Andrea Tartari , Maurizio Tomasi , Denis Tramonte , Neil Trappe , Tiziana Trombetti , Carole Tucker , Jussi Valiviita , Rien Van de Weijgaert , Bartjan van Tent , Vincent Vennin , Patricio Vielva , Nicola Vittorio , Karl Young , Mario Zannoni

The measurements of CMB anisotropy have opened up a window for probing the global topology of the universe on length scales comparable to and beyond the Hubble radius. We have developed a new method for calculating the CMB anisotropy in…

Astrophysics · Physics 2007-05-23 Tarun Souradeep , Dmitry Pogosyan , J. Richard Bond

We use statistical inference theory to explore the constraints from future galaxy weak lensing (cosmic shear) surveys combined with the current CMB constraints on cosmological parameters, focusing particularly on the running of the spectral…

Astrophysics · Physics 2009-11-10 Mustapha Ishak , Christopher M. Hirata , Patrick McDonald , Uros Seljak

In this paper a local approximation method on the sphere is presented. As interpolation scheme we consider a partition of unity method, such as the modified spherical Shepard's method, which uses zonal basis functions (ZBFs) plus spherical…

Numerical Analysis · Mathematics 2014-04-08 Alessandra De Rossi