The effective evolution of an inhomogeneous universe model in any theory of gravitation
may be described in terms of spatially averaged variables. In Einstein's theory, restricting …

Over the last decade, statisticians have developed new statistical tools in the field of spatial
point processes. At the same time, observational efforts have yielded a huge amount of new …

We present a novel approach to quantifying the morphology of cosmic microwave
background (CMB) anisotropy maps. As morphological descriptors, we use shape …

The genus statistics of isodensity contours has become a well-established tool in
cosmology. In this Letter we place the genus in the wider framework of a complete family of …

Modern physics is confronted with a large variety of complex spatial patterns. Although both
spatial statisticians and statistical physicists study random geometrical structures, there has …

Direct numerical simulation (DNS) results of turbulent MILD premixed and conventional
(undiluted) premixed combustion have been investigated to shed light on the physical …

We report on the design and status of the Clusters in the Zone of Avoidance (CIZA) project,
the first systematic X-ray search for clusters of galaxies behind the Milky Way. We …

We conduct numerical experiments to investigate the spatial clustering of particles and
bubbles in simulations of homogeneous and isotropic turbulence. On varying the Stokes …

A strategy to extract turbulence structures from direct numerical simulation (DNS) data is
described along with a systematic analysis of geometry and spatial distribution of the …

The Minkowski functionals and functions are a family of morphological measures and can be
used to describe both the morphology (shape) and topology (connectedness) of a system …