233 citations · 1k across the 29 of their papers we have counts for
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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 of inhomogeneities on the expansion: the evolution of cosmological parameters
Thomas Buchert, Martin Kerscher, Christian Sicka
Averaging and evolving inhomogeneities are non-commuting operations. This implies the existence of deviations of an averaged model from the standard Friedmann-Lemaitre cosmologies.…
A comparison of estimators for the two-point correlation function
Martin Kerscher, Istvan Szapudi, Alex Szalay
Nine of the most important estimators known for the two-point correlation function are compared using a predetermined, rigorous criterion. The indicators were extracted from over 5…
Estimating the J function without edge correction
Adrian Baddeley, Martin Kerscher, Katja Schladitz +1
The interaction between points in a spatial point process can be measured by its empty space function F, its nearest-neighbour distance distribution function G, and by combinations…
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…