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For analyzing anisotropic low relative-velocity correlation-functions and the associated emission sources, we propose an expansion in terms of cartesian spherical harmonics. The expansion coefficients represent angular moments of the…

Nuclear Theory · Physics 2007-05-23 P. Danielewicz , S. Pratt

The effects of anisoplanatism on the adaptive optics point spread function are investigated. A model is derived that combines observations of the guide star with an analytic formulation of anisoplanatism to generate predictions for the…

Astrophysics · Physics 2009-11-11 Matthew Britton

The Baryon Acoustic Oscillations (BAO) imprinted a characteristic correlation length in the large-scale structure of the universe that can be used as a standard ruler for mapping out the cosmic expansion history. Here, we discuss the…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-28 Jailson S. Alcaniz , Gabriela C. Carvalho , Armando Bernui , Joel C. Carvalho , Micol Benetti

Though Fourier Transforms (FTs) are a common technique for finding correlation functions, they are not typically used in computations of the anisotropy of the two-point correlation function (2PCF) about the line of sight in wide-angle…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-28 Zachary Slepian , Daniel J. Eisenstein

We establish a practical method for the joint analysis of anisotropic galaxy two- and three-point correlation functions (2PCF and 3PCF) on the basis of the decomposition formalism of the 3PCF using tri-polar spherical harmonics. We perform…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-16 Naonori S. Sugiyama , Shun Saito , Florian Beutler , Hee-Jong Seo

We present the galaxy two-point angular correlation function for galaxies selected from the seventh data release of the Sloan Digital Sky Survey. The galaxy sample was selected with $r$-band apparent magnitudes between 17 and 21; and we…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Y. Wang , R. J. Brunner , J. C. Dolence

The angular two-point correlation function between background QSOs and foreground galaxies induced by gravitational lensing is derived. It is shown that the shape of this correlation function depends sensitively on the spectrum of the…

Astrophysics · Physics 2007-05-23 Matthias Bartelmann

The two point angular correlation function is an excellent measure of structure in the universe. To extract from it the three dimensional power spectrum, one must invert Limber's Equation. Here we perform this inversion using a Bayesian…

Astrophysics · Physics 2008-11-26 Scott Dodelson , Enrique Gaztanaga

This articles is concerned primarily with the intrinsic anisotropy in the angular distribution of 2281 gamma-ray bursts (GRBs) collected in Current BATSE Gamma-Ray Burst Catalog until the end of year 1998, and, second, with intrinsic…

Astrophysics · Physics 2007-05-23 A. Meszaros , Z. Bagoly , R. Vavrek

We developed a modification to the calculation of the two-point correlation function commonly used in the analysis of large scale structure in cosmology. An estimator of the two-point correlation function is constructed by contrasting the…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-20 Regina Demina , Sanha Cheong , Segev BenZvi , Otto Hindrichs

The stellar scintillation is one of the fundamental limitation to the precision of ground-based photometry. The paper examines the problem of correlation of the scintillation of two close stars at the focus of a large telescope. The derived…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 V. Kornilov

Two-point correlation functions of cosmic microwave background polarization provide a physically independent probe of the surprising suppression of correlations in the cosmic microwave background temperature anisotropies at large angular…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Amanda Yoho , Simone Aiola , Craig J. Copi , Arthur Kosowsky , Glenn D. Starkman

We investigate the weak gravitational lensing effect due to the large-scale structure of the universe on two-point correlations of local maxima ({\em hotspots}) in the 2D sky map of the cosmic microwave background (CMB) anisotropy.…

Astrophysics · Physics 2016-08-30 Masahiro Takada , Eiichiro Komatsu , Toshifumi Futamase

We propose an anisotropic generalisation of the line correlation function (ALCF) to separate and quantify phase information in the large-scale structure of galaxies. The line correlation function probes the strictly non-linear regime of…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-22 Alexander Eggemeier , Thorsten Battefeld , Robert E. Smith , Jens Niemeyer

We compute the angular power spectrum C_l from the BATSE 3B catalog of 1122 gamma-ray bursts, and find no evidence for clustering on any scale. These constraints bridge the entire range from small scales (which probe source clustering and…

Astrophysics · Physics 2009-10-07 Max Tegmark , Dieter Hartmann , Michael Briggs , Charles Meegan

The measurement of two-particle angular correlation functions in high-multiplicity $e^+e^-$ collisions at $\sqrt{s}=10.52$ GeV is reported. In this study, the $89.5~{\text{fb}}^{-1}$ of hadronic $e^+e^-$ annihilation data collected by the…

High Energy Physics - Experiment · Physics 2023-12-11 Y. -C. Chen , Y. -J. Lee , P. Chang , I. Adachi , H. Aihara , S. Al Said , D. M. Asner , T. Aushev , R. Ayad , V. Babu , P. Behera , K. Belous , J. Bennett , M. Bessner , T. Bilka , D. Bodrov , J. Borah , M. Bračko , P. Branchini , T. E. Browder , A. Budano , M. Campajola , D. Červenkov , M. -C. Chang , V. Chekelian , B. G. Cheon , K. Chilikin , H. E. Cho , K. Cho , S. -J. Cho , S. -K. Choi , Y. Choi , D. Cinabro , S. Das , G. De Nardo , G. De Pietro , R. Dhamija , F. Di Capua , J. Dingfelder , T. V. Dong , D. Dossett , D. Epifanov , T. Ferber , B. G. Fulsom , R. Garg , V. Gaur , A. Giri , P. Goldenzweig , T. Gu , K. Gudkova , C. Hadjivasiliou , O. Hartbrich , K. Hayasaka , H. Hayashii , W. -S. Hou , C. -L. Hsu , T. Iijima , K. Inami , A. Ishikawa , R. Itoh , M. Iwasaki , Y. Iwasaki , W. W. Jacobs , S. Jia , Y. Jin , A. B. Kaliyar , C. H. Kim , D. Y. Kim , K. -H. Kim , Y. -K. Kim , P. Kodyš , T. Konno , A. Korobov , S. Korpar , E. Kovalenko , P. Križan , R. Kroeger , P. Krokovny , M. Kumar , R. Kumar , K. Kumara , A. Kuzmin , Y. -J. Kwon , Y. -T. Lai , T. Lam , J. S. Lange , M. Laurenza , S. C. Lee , J. Li , Y. Li , Y. B. Li , L. Li Gioi , J. Libby , K. Lieret , C. -W. Lin , D. Liventsev , A. Martini , M. Masuda , T. Matsuda , D. Matvienko , F. Meier , M. Merola , F. Metzner , K. Miyabayashi , G. B. Mohanty , T. J. Moon , R. Mussa , M. Nakao , A. Natochii , L. Nayak , N. K. Nisar , S. Nishida , K. Nishimura , S. Ogawa , H. Ono , G. Pakhlova , T. Pang , S. Pardi , S. -H. Park , S. Patra , S. Paul , T. K. Pedlar , L. E. Piilonen , T. Podobnik , E. Prencipe , M. T. Prim , N. Rout , G. Russo , D. Sahoo , S. Sandilya , A. Sangal , L. Santelj , T. Sanuki , V. Savinov , G. Schnell , C. Schwanda , R. Seidl , Y. Seino , M. E. Sevior , M. Shapkin , J. -G. Shiu , J. B. Singh , A. Sokolov , E. Solovieva , M. Starič , Z. S. Stottler , M. Sumihama , K. Sumisawa , W. Sutcliffe , M. Takizawa , U. Tamponi , K. Tanida , F. Tenchini , M. Uchida , T. Uglov , Y. Unno , K. Uno , S. Uno , R. Van Tonder , G. Varner , A. Vinokurova , A. Vossen , E. Waheed , C. H. Wang , D. Wang , E. Wang , X. L. Wang , S. Watanuki , E. Won , W. Yan , S. B. Yang , H. Ye , J. Yelton , Y. Zhai , Z. P. Zhang , V. Zhilich , V. Zhukova

Using an optimal estimator for the CMB Angular Power Spectrum we compute the temperature two-point correlation function of WMAP 9 year at low resolution. Supported by realistic Monte-Carlo simulations, we evaluate how such observed function…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 A. Gruppuso

Two-particle angular correlation measurements are sensitive probes of the interactions of particles with the medium formed in heavy-ion collisions. Such measurements are done by determining the distribution of the relative pseudorapidity…

High Energy Physics - Experiment · Physics 2016-12-19 Monika Kofarago

One of the crucial aspects of density perturbations that are produced by the standard inflation scenario is that they are Gaussian where seeds produced by topological defects tend to be non-Gaussian. The three point correlation function of…

Astrophysics · Physics 2009-10-22 Xiaochun Luo , D. N. Schramm

The two-point correlation function of the galaxy distribution is a key cosmological observable that allows us to constrain the dynamical and geometrical state of our Universe. To measure the correlation function we need to know both the…