In order to quantify higher-order correlations of the galaxy cluster distribution we use a complete family of additive measures which give scale-dependent morphological information. Minkowski functionals can be expressed analytically in terms of integrals of n-point correlation functions. They can be compared with measured Minkowski functionals of volume limited samples extracted from the REFLEX survey. We find significant non-Gaussian features in the large-scale spatial distribution of galaxy clusters. A Gauss-Poisson process can be excluded as a viable model for the distribution of galaxy clusters at the significance level of 95%.
Non-Gaussian morphology on large scales: Minkowski functionals of the REFLEX cluster catalogue / M. Kerscher, K. Mecke, P. Schuecker, H. Böhringer, L. Guzzo, C.A. Collins, S. Schindler, S. De Grandi, R. Cruddace. - In: ASTRONOMY & ASTROPHYSICS. - ISSN 0004-6361. - 377:1(2001), pp. 1-16. [10.1051/0004-6361:20011063]
Non-Gaussian morphology on large scales: Minkowski functionals of the REFLEX cluster catalogue
L. Guzzo;
2001
Abstract
In order to quantify higher-order correlations of the galaxy cluster distribution we use a complete family of additive measures which give scale-dependent morphological information. Minkowski functionals can be expressed analytically in terms of integrals of n-point correlation functions. They can be compared with measured Minkowski functionals of volume limited samples extracted from the REFLEX survey. We find significant non-Gaussian features in the large-scale spatial distribution of galaxy clusters. A Gauss-Poisson process can be excluded as a viable model for the distribution of galaxy clusters at the significance level of 95%.File | Dimensione | Formato | |
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