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We study the general properties of the CMB temperature four-point function, specifically its harmonic analogue the angular trispectrum, and illustrate its utility in finding optimal quadratic statistics through the weak gravitational…

Astrophysics · Physics 2009-11-06 Wayne Hu

We consider parameter estimations with probes being the boundary driven/dissipated non- equilibrium steady states of XXZ spin 1/2 chains. The parameters to be estimated are the dissipation coupling and the anisotropy of the spin-spin…

Quantum Physics · Physics 2017-08-22 Ugo Marzolino , Tomaž Prosen

I describe a method to estimate response matrices of Cosmic Microwave Background (CMB) lensing power spectra estimators to the true sky power under realistic conditions. Applicable to all lensing reconstruction pipelines based on quadratic…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-08 Julien Carron

Spatial correlations of the cubic 3-torus topology are analysed using the Planck 2013 data. The spatial-correlation method for detecting multiply connected spaces is based on the fact that positions on the cosmic microwave background (CMB)…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-06 R. Aurich

We propose a hybrid quadratic estimator to measure cross correlations between gravitational lensing of the cosmic microwave background (CMB) and differential screening effects arising from fluctuations in the electron column density, such…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-12 Chang Feng , Gilbert Holder

We derive optimal estimators for the binned two-, three-, and four-point correlators of statistically isotropic tensor fields defined on the sphere, in the presence of arbitrary beams, inpainting, and masking. This is a conceptually…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-04 Oliver H. E. Philcox

The presence of astrophysical emissions between the last scattering surface and our vantage point requires us to apply a foreground mask on CMB sky map, leading to large cut around the Galactic equator and numerous holes. Since many CMB…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-17 Jaiseung Kim , Pavel Naselsky , Nazzareno Mandolesi

Cosmic microwave background (CMB) photons are deflected by large-scale structure through gravitational lensing. This secondary effect introduces higher-order correlations in CMB anisotropies, which are used to reconstruct lensing…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-26 M. Ruiz-Granda , P. Diego-Palazuelos , C. Gimeno-Amo , P. Vielva , A. I. Lonappan , T. Namikawa , R. T. Génova-Santos , M. Lembo , R. Nagata , M. Remazeilles , D. Adak , E. Allys , A. Anand , J. Aumont , C. Baccigalupi , M. Ballardini , A. J. Banday , R. B. Barreiro , N. Bartolo , S. Basak , M. Bersanelli , A. Besnard , D. Blinov , M. Bortolami , F. Bouchet , T. Brinckmann , F. Cacciotti , E. Calabrese , P. Campeti , A. Carones , F. J. Casas , K. Cheung , M. Citran , L. Clermont , F. Columbro , A. Coppolecchia , P. de Bernardis , T. de Haan , E. de la Hoz , M. De Lucia , S. Della Torre , E. Di Giorgi , H. K. Eriksen , F. Finelli , C. Franceschet , U. Fuskeland , G. Galloni , M. Galloway , M. Gervasi , T. Ghigna , S. Giardiello , A. Gruppuso , M. Hazumi , L. T. Hergt , E. Hivon , K. Ichiki , H. Jiang , B. Jost , K. Kohri , L. Lamagna , M. Lattanzi , C. Leloup , F. Levrier , M. López-Caniego , G. Luzzi , J. Macias-Perez , V. Maranchery , E. Martínez-González , S. Masi , S. Matarrese , T. Matsumura , S. Micheli , M. Monelli , L. Montier , G. Morgante , M. Najafi , A. Novelli , F. Noviello , I. Obata , A. Occhiuzzi , A. Paiella , D. Paoletti , G. Pascual-Cisneros , F. Piacentini , G. Piccirilli , G. Polenta , L. Porcelli , N. Raffuzzi , A. Rizzieri , J. A. Rubiño-Martín , Y. Sakurai , J. Sanghavi , D. Scott , M. Shiraishi , G. Signorelli , R. M. Sullivan , Y. Takase , L. Terenzi , M. Tomasi , M. Tristram , L. Vacher , B. van Tent , I. K. Wehus , G. Weymann-Despres , Y. Zhou

We present an analytic approach to the estimation of beam asymmetry effects in CMB temperature and linear polarization anisotropy experiments. We derive via perturbative expansions simple and accurate results for the case of an elliptical…

Astrophysics · Physics 2009-11-06 P. Fosalba , O. Doré , F. R. Bouchet

Some inflationary models predict the existence of isocurvature primordial fluctuations, in addition to the well known adiabatic perturbation. Such mixed models are not yet ruled out by available data sets. In this paper we explore the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Larissa Santos , Paolo Cabella , Amedeo Balbi , Nicola Vittorio

This article gives the construction and complete classification of all three-dimensional spherical manifolds, and orders them by decreasing volume, in the context of multiconnected universe models with positive spatial curvature. It…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Evelise Gausmann , Roland Lehoucq , Jean-Pierre Luminet , Jean-Philippe Uzan , Jeffrey Weeks

The direct evaluation of manifestly optimal, cut-sky CMB power spectrum and bispectrum estimators is numerically very costly, due to the presence of inverse-covariance filtering operations. This justifies the investigation of alternative…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-01 H. F. Gruetjen , J. R. Fergusson , M. Liguori , E. P. S. Shellard

We use the Cosmic Microwave Background (CMB) anisotropy data from Planck to constrain the spatial fluctuations of the fine-structure constant \alpha. Through Thompson scattering of CMB photons, spatial anisotropies of \alpha lead to…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-07 Jon O'Bryan , Joseph Smidt , Francesco De Bernardis , Asantha Cooray

The Universe is not perfectly homogeneous, the large scale structure forms overdense regions and voids. In this paper, we consider the possibility that we occupy a special position in our Universe, close to the center of a local underdense…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-13 Viraj Nistane , Giulia Cusin , Martin Kunz

We analyse the CMB radiation in spherical 3-spaces with non-trivial topology. The focus is put on an inhomogeneous space which possesses observer dependent CMB properties. The suppression of the CMB anisotropies on large angular scales is…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 R. Aurich , P. Kramer , S. Lustig

We introduce a new estimator of the CMB lensing power spectrum, together with its likelihood, based on iterative lensing reconstruction. Despite the increased complexity of the lensing maps, this estimator shares similarities with the…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-17 Louis Legrand , Julien Carron

We attempt to make a direct measurement of the weak lensing signal from the WMAP 7-year data. We apply the real-space implementation of the optimal quadratic estimator on the maps produced by the W-band Differencing Assemblies. We obtain a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 C. Sofia Carvalho , Ismael Tereno , Spyros Basilakos

I briefly review some of the main scientific outputs expected from the upcoming Planck mission. Planck will map the CMB sky with 5' resolution and $\mu$K sensitivity, with minimal foreground contribution and superb control on systematics.…

Astrophysics · Physics 2008-11-26 Amedeo Balbi

We propose a computer-efficient and accurate method of estimation of spatially correlated errors in astrometric positions, parallaxes and proper motions obtained by space and ground-based astrometry missions. In our method, the simulated…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 V. V. Makarov , B. N. Dorland , R. A. Gaume , G. S. Hennessy , C. T. Berghea , R. P. Dudik , H. R. Schmitt

Extracting planes from a 3D scene is useful for downstream tasks in robotics and augmented reality. In this paper we tackle the problem of estimating the planar surfaces in a scene from posed images. Our first finding is that a surprisingly…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Jamie Watson , Filippo Aleotti , Mohamed Sayed , Zawar Qureshi , Oisin Mac Aodha , Gabriel Brostow , Michael Firman , Sara Vicente