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The angular power spectrum is a gauge-independent observable that is in principle the natural tool for analysing galaxy number counts. In practice, the problem is that the computational requirements for next-generation spectroscopic surveys…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-12 Stefano Camera , José Fonseca , Roy Maartens , Mário G. Santos

The control of photometric redshift (photo-$z$) errors is a crucial and challenging task for precision weak lensing cosmology. The spacial cross-correlations (equivalently, the angular cross power spectra) of galaxies between tomographic…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-03 L. Sun , H. Zhan , C. Tao

Angular power spectra are an important measure of the angular clustering of a given distribution. In Cosmology, they are applied to such vastly different observations as galaxy surveys that cover a fraction of the sky and the Cosmic…

Astrophysics · Physics 2007-11-15 Brett Hayes , Robert Brunner , Volodymyr Kindratenko

It is commonplace in cosmology to analyze fields projected onto the celestial sphere, and in particular density fields that are defined by a set of points e.g. galaxies. When performing an harmonic-space analysis of such data (e.g. an…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-02 Antón Baleato Lizancos , Martin White

We investigate how well the redshift distributions of galaxies sorted into photometric redshift bins can be determined from the galaxy angular two-point correlation functions. We find that the uncertainty in the reconstructed redshift…

Astrophysics · Physics 2008-11-26 M. Schneider , L. Knox , H. Zhan , A. Connolly

By obtaining photometric redshift information, tomography allows us to cross-correlate galaxy ellipticities in different source redshift bins. The cross-correlation is non-vanishing because the different bins share much of the foreground…

Astrophysics · Physics 2009-11-10 Masahiro Takada , Martin White

We present an optimisation method for the assignment of photometric galaxies into a chosen set of redshift bins. This is achieved by combining simulated annealing, an optimisation algorithm inspired by solid-state physics, with an…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-08 Benjamin Stölzner , Benjamin Joachimi , Andreas Korn , the LSST Dark Energy Science Collaboration

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 re-examine the effects of redshift space distortion in all-sky galaxy redshift surveys in the formalism of spherical harmonics. Within this framework we show how one can treat both the large-scale linear effects, and the small-scale…

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

Combining different observational probes, such as galaxy clustering and weak lensing, is a promising technique for unveiling the physics of the Universe with upcoming dark energy experiments. Whilst this strategy significantly improves…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-02 Rossana Ruggeri , Chris Blake

Upcoming large redshift surveys potentially allow precision measurements of the galaxy power spectrum. To accurately measure P(k) on the largest scales, comparable to the depth of the survey, it is crucial that finite volume effects are…

Astrophysics · Physics 2016-01-27 Max Tegmark

The statistical distribution of galaxies is a powerful probe to constrain cosmological models and gravity. In particular the matter power spectrum $P(k)$ brings information about the cosmological distance evolution and the galaxy clustering…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-20 J. -E. Campagne , J. Neveu , S. Plaszczynski

The existence of galaxy intrinsic clustering severely hampers the weak lensing reconstruction from cosmic magnification. In paper I \citep{Yang2011}, we proposed a minimal variance estimator to overcome this problem. By utilizing the…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-21 Xinjuan Yang , Pengjie Zhang , Jun Zhang , Yu Yu

Angular power spectra are central to the study of our Universe. In this paper, I develop a new method for the numeric evaluation and analytic estimation of the angular cross-power spectrum of two random fields using complex analysis and…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-27 Job Feldbrugge

The accurate determination of the true redshift distributions in tomographic bins is critical for cosmological constraints from photometric surveys. The proposed redshift self-calibration method, which utilizes the photometric galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-10 Hui Peng , Yu Yu

Modern galaxy surveys focus on the galaxy power spectrum or 2-point correlation function to test and constrain cosmological models. Additional information comes from higher-order N-point functions, but their analysis is challenging. A…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Marcel Schmittfull , Azadeh Moradinezhad Dizgah

We propose an Analytical method of Blind Separation (ABS) of cosmic magnification from the intrinsic fluctuations of galaxy number density in the observed galaxy number density distribution. The ABS method utilizes the different dependences…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-27 Xinjuan Yang , Jun Zhang , Yu Yu , Pengjie Zhang

The large-scale structure growth index $\gamma$ provides a consistency test of the standard cosmology and is a potential indicator of modified gravity. We investigate the constraints on $\gamma$ from next-generation spectroscopic surveys,…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-12 José Fonseca , Jan-Albert Viljoen , Roy Maartens

We present the strategy used to identify and mitigate potential sources of angular systematics in the \textit{Euclid} spectroscopic galaxy survey, and we quantify their impact on galaxy clustering measurements and cosmological parameter…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-30 Euclid Collaboration , P. Monaco , M. Y. Elkhashab , B. R. Granett , J. Salvalaggio , E. Sefusatti , C. Scarlata , B. Zabelle , M. Bethermin , S. Bruton , C. Carbone , S. de la Torre , S. Dusini , A. Eggemeier , L. Guzzo , G. Lavaux , S. Lee , K. Markovic , K. S. McCarthy , M. Moresco , F. Passalacqua , W. J. Percival , I. Risso , A. G. Sánchez , D. Scott , C. Sirignano , Y. Wang , B. Altieri , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , A. Biviano , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , G. Cañas-Herrera , V. Capobianco , V. F. Cardone , J. Carretero , S. Casas , F. J. Castander , M. Castellano , G. Castignani , S. Cavuoti , A. Cimatti , C. Colodro-Conde , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , H. Degaudenzi , G. De Lucia , H. Dole , F. Dubath , C. A. J. Duncan , X. Dupac , S. Escoffier , M. Farina , R. Farinelli , S. Ferriol , N. Fourmanoit , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , K. George , W. Gillard , B. Gillis , C. Giocoli , J. Gracia-Carpio , A. Grazian , F. Grupp , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , K. Jahnke , M. Jhabvala , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , B. Kubik , M. Kümmel , M. Kunz , H. Kurki-Suonio , A. M. C. Le Brun , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , S. Marcin , O. Marggraf , M. Martinelli , N. Martinet , F. Marulli , R. J. Massey , E. Medinaceli , S. Mei , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , A. Mora , L. Moscardini , C. Neissner , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , L. Pozzetti , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , Z. Sakr , D. Sapone , B. Sartoris , P. Schneider , T. Schrabback , M. Scodeggio , A. Secroun , G. Seidel , S. Serrano , P. Simon , G. Sirri , A. Spurio Mancini , L. Stanco , J. Steinwagner , C. Surace , P. Tallada-Crespí , A. N. Taylor , H. I. Teplitz , I. Tereno , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , J. Valiviita , T. Vassallo , A. Veropalumbo , D. Vibert , J. Weller , A. Zacchei , G. Zamorani , F. M. Zerbi , E. Zucca , V. Allevato , M. Ballardini , M. Bolzonella , A. Boucaud , E. Bozzo , C. Burigana , R. Cabanac , M. Calabrese , A. Cappi , J. A. Escartin Vigo , G. Fabbian , L. Gabarra , W. G. Hartley , R. Maoli , J. Martín-Fleitas , S. Matthew , N. Mauri , R. B. Metcalf , A. Pezzotta , M. Pöntinen , V. Scottez , M. Sereno , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , I. T. Andika , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , S. Avila , D. Bertacca , A. Blanchard , L. Blot , M. Bonici , S. Borgani , M. L. Brown , A. Calabro , B. Camacho Quevedo , F. Caro , C. S. Carvalho , T. Castro , F. Cogato , S. Conseil , A. R. Cooray , O. Cucciati , S. Davini , G. Desprez , A. Díaz-Sánchez , J. J. Diaz , S. Di Domizio , J. M. Diego , A. Enia , Y. Fang , A. G. Ferrari , A. Finoguenov , A. Fontana , A. Franco , J. García-Bellido , T. Gasparetto , V. Gautard , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , M. Guidi , C. M. Gutierrez , A. Hall , C. Hernández-Monteagudo , H. Hildebrandt , J. Hjorth , S. Joudaki , J. J. E. Kajava , Y. Kang , V. Kansal , D. Karagiannis , K. Kiiveri , J. Kim , C. C. Kirkpatrick , S. Kruk , M. Lattanzi , V. Le Brun , L. Legrand , M. Lembo , F. Lepori , G. Leroy , G. F. Lesci , J. Lesgourgues , L. Leuzzi , T. I. Liaudat , S. J. Liu , A. Loureiro , J. Macias-Perez , M. Magliocchetti , F. Mannucci , C. J. A. P. Martins , L. Maurin , M. Miluzio , C. Moretti , G. Morgante , S. Nadathur , K. Naidoo , A. Navarro-Alsina , S. Nesseris , D. Paoletti , K. Paterson , L. Patrizii , A. Pisani , D. Potter , S. Quai , M. Radovich , G. Rodighiero , S. Sacquegna , M. Sahlén , D. B. Sanders , E. Sarpa , A. Schneider , D. Sciotti , E. Sellentin , L. C. Smith , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Tosi , A. Troja , M. Tucci , A. Venhola , D. Vergani , F. Vernizzi , G. Verza , P. Vielzeuf , N. A. Walton

The angular power spectrum is a powerful statistic for analysing cosmological signals imprinted in the clustering of matter. However, current galaxy and quasar surveys cover limited portions of the sky, and are contaminated by systematics…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-29 Boris Leistedt , Hiranya V. Peiris , Daniel J. Mortlock , Aurélien Benoit-Lévy , Andrew Pontzen
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