Minkowski Functionals in Cosmology

Abstract

Minkowski functionals provide a novel tool to characterize the large-scale galaxy distribution in the Universe. Here we give a brief tutorial on the basic features of these morphological measures and indicate their practical application for simulation data and galaxy redshift catalogues as examples.

9 pages, uuencoded gzipped ps-file, 300 kByte Proc. ``International School of Physics Enrico Fermi'', Course CXXXII: Dark Matter in the Universe, Varenna 1995, eds.: S. Bonometto, J. Primack, A. Provenzale, IOP, to appear; Corrected typing error in the last formula. Now it reads: \frac{M_{μ-ν}(D)}{M_0(D)} ^^^^ on the right side of the equation under the sum

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