M. Kerscher et al., Non-Gaussian morphology on large scales: Minkowski functionals of the REFLEX cluster catalogue, ASTRON ASTR, 377(1), 2001, pp. 1-16
In order to quantify higher-order correlations of the galaxy cluster distri
bution we use a complete family of additive measures which give scale-depen
dent morphological information. Minkowski functionals can be expressed anal
ytically in terms of integrals of n-point correlation functions. They can b
e compared with measured Minkowski functionals of volume limited samples ex
tracted from the Reflex survey. We find significant non-Gaussian features i
n the large-scale spatial distribution of galaxy clusters. A Gauss-Poisson
process can be excluded as a viable model for the distribution of galaxy cl
usters at the significance level of 95%.