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Article Dans Une Revue Journal of Cosmology and Astroparticle Physics Année : 2009

The 2pt : an enhanced 2 point correlation function

Résumé

We introduce a new method for testing departure from isotropy of points on a sphere based on an enhanced form of the two-point correlation function that we named 2pt . This method uses information from the two extra variables that define the vector between two points on a sphere. We show that this is a powerful method to test departure from isotropy of a distribution of points on a sphere especially when the number of events is small. We apply the method to a few examples in astronomy and discuss the relevance for limited datasets, such as the case of ultra-high energy cosmic rays.

Dates et versions

hal-03742794 , version 1 (02-08-2022)

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Citer

M. Ave, L. Cazon, J. Cronin, J. R. T. de Mello Neto, A. V. Olinto, et al.. The 2pt : an enhanced 2 point correlation function. Journal of Cosmology and Astroparticle Physics, 2009, 07, pp.023. ⟨10.1088/1475-7516/2009/07/023⟩. ⟨hal-03742794⟩
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