9 papers
Mark correlations: relating physical properties to spatial distributions
Claus Beisbart, Martin Kerscher, Klaus Mecke
Mark correlations provide a systematic approach to look at objects both distributed in space and bearing intrinsic information, for instance on physical properties. The interplay o…
On Luminosity and morphology segregation in the Southern Sky Redshift Survey 2
Claus Beisbart, Martin Kerscher
The results are still valid, however this letter is superceeded by a significantly extended version which is available at astro-ph/0003358 and is scheduled for publication in the A…
Statistical analysis of large-scale structure in the Universe
Martin Kerscher
Methods for the statistical characterization of the large-scale structure in the Universe will be the main topic of the present text. The focus is on geometrical methods, mainly Mi…
Backreaction in Cosmological Models
Christian Sicka, Thomas Buchert, Martin Kerscher
Most cosmological models studied today are based on the assumption of homogeneity and isotropy. Observationally one can find evidence that supports these assumptions on very large…
The geometry of second-order statistics - biases in common estimators
Martin Kerscher
Second-order measures, such as the two-point correlation function, are geometrical quantities describing the clustering properties of a point distribution. In this article well-kno…
Regularity in the distribution of superclusters?
Martin Kerscher
We use a measure of clustering derived from the nearest neighbour distribution and the void probability function to distinguish between regular and clustered structures. This measu…