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Understanding the acceleration of Ultra High Energy Cosmic Rays is one of the great challenges of contemporary astrophysics. In this short review, we summarize the general observational constraints on their composition, spectrum and…

High Energy Astrophysical Phenomena · Physics 2023-05-24 Noemie Globus , Roger Blandford

Recent Cosmic Microwave Background (CMB) observations indicate that the temperature anisotropies arise from quantum fluctuations in the inflationary scenario. In the simplest inflationary models, the distribution of CMB temperature…

Astrophysics · Physics 2009-11-10 J. L. Starck , N. Aghanim , O. Forni

We have searched for intermediate-scale anisotropy in the arrival directions of ultrahigh-energy cosmic rays with energies above 57~EeV in the northern sky using data collected over a 5 year period by the surface detector of the Telescope…

High Energy Astrophysical Phenomena · Physics 2014-07-17 The Telescope Array Collaboration , R. U. Abbasi , M. Abe , T. Abu-Zayyad , M. Allen , R. Anderson , R. Azuma , E. Barcikowski , J. W. Belz , D. R. Bergman , S. A. Blake , R. Cady , M. J. Chae , B. G. Cheon , J. Chiba , M. Chikawa , W. R. Cho , T. Fujii , M. Fukushima , T. Goto , W. Hanlon , Y. Hayashi , N. Hayashida , K. Hibino , K. Honda , D. Ikeda , N. Inoue , T. Ishii , R. Ishimori , H. Ito , D. Ivanov , C. C. H. Jui , K. Kadota , F. Kakimoto , O. Kalashev , K. Kasahara , H. Kawai , S. Kawakami , S. Kawana , K. Kawata , E. Kido , H. B. Kim , J. H. Kim , J. H. Kim , S. Kitamura , Y. Kitamura , V. Kuzmin , Y. J. Kwon , J. Lan , S. I. Lim , J. P. Lundquist , K. Machida , K. Martens , T. Matsuda , T. Matsuyama , J. N. Matthews , M. Minamino , K. Mukai , I. Myers , K. Nagasawa , S. Nagataki , T. Nakamura , T. Nonaka , A. Nozato , S. Ogio , J. Ogura , M. Ohnishi , H. Ohoka , K. Oki , T. Okuda , M. Ono , A. Oshima , S. Ozawa , I. H. Park , M. S. Pshirkov , D. C. Rodriguez , G. Rubtsov , D. Ryu , H. Sagawa , N. Sakurai , A. L. Sampson , L. M. Scott , P. D. Shah , F. Shibata , T. Shibata , H. Shimodaira , B. K. Shin , J. D. Smith , P. Sokolsky , R. W. Springer , B. T. Stokes , S. R. Stratton , T. A. Stroman , T. Suzawa , M. Takamura , M. Takeda , R. Takeishi , A. Taketa , M. Takita , Y. Tameda , H. Tanaka , K. Tanaka , M. Tanaka , S. B. Thomas , G. B. Thomson , P. Tinyakov , I. Tkachev , H. Tokuno , T. Tomida , S. Troitsky , Y. Tsunesada , K. Tsutsumi , Y. Uchihori , S. Udo , F. Urban , G. Vasiloff , T. Wong , R. Yamane , H. Yamaoka , K. Yamazaki , J. Yang , K. Yashiro , Y. Yoneda , S. Yoshida , H. Yoshii , R. Zollinger , Z. Zundel

In spatial statistics, point processes are often assumed to be isotropic meaning that their distribution is invariant under rotations. Statistical tests for the null hypothesis of isotropy found in the literature are based either on…

Methodology · Statistics 2024-04-17 Chiara Fend , Claudia Redenbach

Using the 2MASS Photometric Redshift catalogue we perform a number of statistical tests aimed at detecting possible departures from statistical homogeneity and isotropy in the large-scale structure of the Universe. Making use of the angular…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 David Alonso , Ana Isabel Salvador , Francisco Javier Sánchez , Maciej Bilicki , Juan García-Bellido , Eusebio Sánchez

We investigate the validity of the Cosmological Principle by mapping the cosmological parameters $H_0$ and $q_0$ through the celestial sphere. In our analysis, performed in a low-redshift regime to follow a model-independent approach, we…

Cosmology and Nongalactic Astrophysics · Physics 2015-07-21 C. A. P. Bengaly , A. Bernui , J. S. Alcaniz

The ubiquitous presence of filamentary structures in the interstellar medium asks for an unbiased characterization of their properties including a stability analysis. We propose a novel technique to measure the spectrum of filaments in any…

Astrophysics of Galaxies · Physics 2018-12-19 Volker Ossenkopf-Okada , Rodion Stepanov

Radiation traversing the observable universe provides powerful ways to probe anisotropy of electromagnetic propagation. A controversial recent study claimed a signal of dipole character. Here we test a new and independent data set of 361…

Astrophysics · Physics 2011-09-16 Pankaj Jain , John P. Ralston

A cosmic ray observatory with full-sky coverage can exploit standard anisotropy analysis methods that do not work if part of the celestial sphere is never seen. In particular, the distribution of arrival directions can be fully…

Astrophysics · Physics 2009-10-31 Paul Sommers

We report recent results from the Pierre Auger Observatory about the study of the anisotropy in the arrival directions of ultra-high energy cosmic rays. We present the results of the search for a dipolar anisotropy at the EeV energy scale.…

High Energy Astrophysical Phenomena · Physics 2019-08-13 J. R. T. de Mello Neto

The cosmological principle, as the cornerstone of the standard cosmological model, requires that the Universe be homogeneous and isotropic on large scales. As a fundamental assumption, it is constantly subjected to testing via various…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-21 Jianping Hu , Chao Geng , Xuandong Jia , Zhaoyu Zuo , Taozhi Yang , Fayin Wang

During the past two decades, experiments in both the northern and southern hemispheres have observed a small but measurable energy-dependent sidereal anisotropy in the arrival direction distribution of Galactic cosmic rays with relative…

High Energy Astrophysical Phenomena · Physics 2017-08-11 The HAWC Collaboration , The IceCube Collaboration

The atmospheres of planets (including Earth) and the outer layers of stars have often been treated in radiative transfer as plane-parallel media, instead of spherical shells, which can lead to inaccuracy, e.g. limb darkening. We give an…

Statistical Mechanics · Physics 2009-11-11 Michael J. Caola

In this study, we investigated the anisotropy of diffusive Ultra-High Energy Cosmic Rays (UHECRs) by employing three cosmological models: two models from the $f(R, T)$ gravity theory and the other is the standard $\Lambda$CDM model. The…

High Energy Astrophysical Phenomena · Physics 2025-09-03 Swaraj Pratim Sarmah , Umananda Dev Goswami

Cosmic rays are atomic nuclei arriving from outer space that reach the highest energies observed in nature. Clues to their origin come from studying the distribution of their arrival directions. Using $3 \times 10^4$ cosmic rays above $8…

High Energy Astrophysical Phenomena · Physics 2017-09-22 The Pierre Auger Collaboration , A. Aab , P. Abreu , M. Aglietta , I. Al Samarai , I. F. M. Albuquerque , I. Allekotte , A. Almela , J. Alvarez Castillo , J. Alvarez-Muñiz , G. A. Anastasi , L. Anchordoqui , B. Andrada , S. Andringa , C. Aramo , F. Arqueros , N. Arsene , H. Asorey , P. Assis , J. Aublin , G. Avila , A. M. Badescu , A. Balaceanu , F. Barbato , R. J. Barreira Luz , J. J. Beatty , K. H. Becker , J. A. Bellido , C. Berat , M. E. Bertaina , X. Bertou , P. L. Biermann , P. Billoir , J. Biteau , S. G. Blaess , A. Blanco , J. Blazek , C. Bleve , M. Boháčová , D. Boncioli , C. Bonifazi , N. Borodai , A. M. Botti , J. Brack , I. Brancus , T. Bretz , A. Bridgeman , F. L. Briechle , P. Buchholz , A. Bueno , S. Buitink , M. Buscemi , K. S. Caballero-Mora , L. Caccianiga , A. Cancio , F. Canfora , L. Caramete , R. Caruso , A. Castellina , G. Cataldi , L. Cazon , A. G. Chavez , J. A. Chinellato , J. Chudoba , R. W. Clay , A. Cobos , R. Colalillo , A. Coleman , L. Collica , M. R. Coluccia , R. Conceição , G. Consolati , F. Contreras , M. J. Cooper , S. Coutu , C. E. Covault , J. Cronin , S. D'Amico , B. Daniel , S. Dasso , K. Daumiller , B. R. Dawson , R. M. de Almeida , S. J. de Jong , G. De Mauro , J. R. T. de Mello Neto , I. De Mitri , J. de Oliveira , V. de Souza , J. Debatin , O. Deligny , C. Di Giulio , A. Di Matteo , M. L. Díaz Castro , F. Diogo , C. Dobrigkeit , J. C. D'Olivo , Q. Dorosti , R. C. dos Anjos , M. T. Dova , A. Dundovic , J. Ebr , R. Engel , M. Erdmann , M. Erfani , C. O. Escobar , J. Espadanal , A. Etchegoyen , H. Falcke , G. Farrar , A. C. Fauth , N. Fazzini , F. Fenu , B. Fick , J. M. Figueira , A. Filipčič , O. Fratu , M. M. Freire , T. Fujii , A. Fuster , R. Gaior , B. García , D. Garcia-Pinto , F. Gaté , H. Gemmeke , A. Gherghel-Lascu , P. L. Ghia , U. Giaccari , M. Giammarchi , M. Giller , D. Głas , C. Glaser , G. Golup , M. Gómez Berisso , P. F. Gómez Vitale , N. González , A. Gorgi , P. Gorham , A. F. Grillo , T. D. Grubb , F. Guarino , G. P. Guedes , M. R. Hampel , P. Hansen , D. Harari , T. A. Harrison , J. L. Harton , A. Haungs , T. Hebbeker , D. Heck , P. Heimann , A. E. Herve , G. C. Hill , C. Hojvat , E. Holt , P. Homola , J. R. Hörandel , P. Horvath , M. Hrabovský , T. Huege , J. Hulsman , A. Insolia , P. G. Isar , I. Jandt , S. Jansen , J. A. Johnsen , M. Josebachuili , J. Jurysek , A. Kääpä , O. Kambeitz , K. H. Kampert , I. Katkov , B. Keilhauer , N. Kemmerich , E. Kemp , J. Kemp , R. M. Kieckhafer , H. O. Klages , M. Kleifges , J. Kleinfeller , R. Krause , N. Krohm , D. Kuempel , G. Kukec Mezek , N. Kunka , A. Kuotb Awad , D. LaHurd , M. Lauscher , R. Legumina , M. A. Leigui de Oliveira , A. Letessier-Selvon , I. Lhenry-Yvon , K. Link , D. Lo Presti , L. Lopes , R. López , A. López Casado , Q. Luce , A. Lucero , M. Malacari , M. Mallamaci , D. Mandat , P. Mantsch , A. G. Mariazzi , I. C. Mariş , G. Marsella , D. Martello , H. Martinez , O. Martínez Bravo , J. J. Masías Meza , H. J. Mathes , S. Mathys , J. Matthews , J. A. J. Matthews , G. Matthiae , E. Mayotte , P. O. Mazur , C. Medina , G. Medina-Tanco , D. Melo , A. Menshikov , K. -D. Merenda , S. Michal , M. I. Micheletti , L. Middendorf , L. Miramonti , B. Mitrica , D. Mockler , S. Mollerach , F. Montanet , C. Morello , M. Mostafá , A. L. Müller , G. Müller , M. A. Muller , S. Müller , R. Mussa , I. Naranjo , L. Nellen , P. H. Nguyen , M. Niculescu-Oglinzanu , M. Niechciol , L. Niemietz , T. Niggemann , D. Nitz , D. Nosek , V. Novotny , L. Nožka , L. A. Núñez , L. Ochilo , F. Oikonomou , A. Olinto , M. Palatka , J. Pallotta , P. Papenbreer , G. Parente , A. Parra , T. Paul , M. Pech , F. Pedreira , J. Pękala , R. Pelayo , J. Peña-Rodriguez , L. A. S. Pereira , M. Perlín , L. Perrone , C. Peters , S. Petrera , J. Phuntsok , R. Piegaia , T. Pierog , P. Pieroni , M. Pimenta , V. Pirronello , M. Platino , M. Plum , C. Porowski , R. R. Prado , P. Privitera , M. Prouza , E. J. Quel , S. Querchfeld , S. Quinn , R. Ramos-Pollan , J. Rautenberg , D. Ravignani , B. Revenu , J. Ridky , F. Riehn , M. Risse , P. Ristori , V. Rizi , W. Rodrigues de Carvalho , G. Rodriguez Fernandez , J. Rodriguez Rojo , D. Rogozin , M. J. Roncoroni , M. Roth , E. Roulet , A. C. Rovero , P. Ruehl , S. J. Saffi , A. Saftoiu , F. Salamida , H. Salazar , A. Saleh , F. Salesa Greus , G. Salina , F. Sánchez , P. Sanchez-Lucas , E. M. Santos , E. Santos , F. Sarazin , R. Sarmento , C. A. Sarmiento , R. Sato , M. Schauer , V. Scherini , H. Schieler , M. Schimp , D. Schmidt , O. Scholten , P. Schovánek , F. G. Schröder , A. Schulz , J. Schumacher , S. J. Sciutto , A. Segreto , M. Settimo , A. Shadkam , R. C. Shellard , G. Sigl , G. Silli , O. Sima , A. Śmiałkowski , R. Šmída , G. R. Snow , P. Sommers , S. Sonntag , J. Sorokin , R. Squartini , D. Stanca , S. Stanič , J. Stasielak , P. Stassi , F. Strafella , F. Suarez , M. Suarez Durán , T. Sudholz , T. Suomijärvi , A. D. Supanitsky , J. Šupík , J. Swain , Z. Szadkowski , A. Taboada , O. A. Taborda , A. Tapia , V. M. Theodoro , C. Timmermans , C. J. Todero Peixoto , L. Tomankova , B. Tomé , G. Torralba Elipe , P. Travnicek , M. Trini , R. Ulrich , M. Unger , M. Urban , J. F. Valdés Galicia , I. Valiño , L. Valore , G. van Aar , P. van Bodegom , A. M. van den Berg , A. van Vliet , E. Varela , B. Vargas Cárdenas , G. Varner , R. A. Vázquez , D. Veberič , C. Ventura , I. D. Vergara Quispe , V. Verzi , J. Vicha , L. Villaseñor , S. Vorobiov , H. Wahlberg , O. Wainberg , D. Walz , A. A. Watson , M. Weber , A. Weindl , L. Wiencke , H. Wilczyński , M. Wirtz , D. Wittkowski , B. Wundheiler , L. Yang , A. Yushkov , E. Zas , D. Zavrtanik , M. Zavrtanik , A. Zepeda , B. Zimmermann , M. Ziolkowski , Z. Zong , F. Zuccarello

We propose a new method to determine the dipole (and quadrupole) component of a distribution of cosmic ray arrival directions, which can be applied when there is partial sky coverage and/or inhomogeneous exposure. In its simplest version it…

Astrophysics · Physics 2009-11-11 Silvia Mollerach , Esteban Roulet

We propose a method to probe the homogeneity of a general universe, without assuming symmetry. We show that isotropy can be tested at remote locations on the past lightcone by comparing the line-of-sight and transverse expansion rates,…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-05 Raul Jimenez , Roy Maartens , Ali Rida Khalifeh , Robert R. Caldwell , Alan F. Heavens , Licia Verde

We present a new framework for testing the isotropy of the Universe using cosmic microwave background data, building on the nested-sampling ANICOSMO code. Uniquely, we are able to constrain the scalar, vector and tensor degrees of freedom…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-08 Daniela Saadeh , Stephen M. Feeney , Andrew Pontzen , Hiranya V. Peiris , Jason D. McEwen

We present a new method of constraining the mass and velocity anisotropy profiles of galaxy clusters from kinematic data. The method is based on a model of the phase space density which allows the anisotropy to vary with radius between two…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Radoslaw Wojtak , Ewa L. Lokas , Gary A. Mamon , Stefan Gottloeber

The Large Area Telescope on board the Fermi Gamma-ray Space Telescope has collected the largest ever sample of high-energy cosmic-ray electron and positron events since the beginning of its operation. Potential anisotropies in the arrival…

High Energy Astrophysical Phenomena · Physics 2017-03-06 LAT Collaboration
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