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Voronoi cells of a random sphere packing

Positive evaluation of DFG research group ‘Geometry and Physics of Spatial Random Systems’.

The research group Geometry and Physics of Spatial Random Systems, founded in 2011 as a collaboration with stochastic and integral geometers from Karlsruhe and Aarhus, has been positively evaluated by the German Science Agency (DFG). The positive appraisal is likely to mean extended funding for a second period from 2014 to 2017, enabling us to continue this close cooperation between mathematics and physics. The overarching theme of the Research Unit are systems with a random spatial structure, addressed from the perspective of stochastic and integral geometry as well as from that of statistical and softmatter physics. Research foci include the key models of stochastic geometry – random tessellations, hard-core particle processes, Boolean models, random fields and continuum percolation – and related systems from soft matter physics – granular matter, cellular foams, non-linear pattern formation, structured fluids and critical transport. Integral geometry, in particular tensor valuations or Minkowski tensors, forms a common mathematical concept of all projects and a focus on algorithmic solutions the basis for impact in a much wider range of scientific applications. Amongst the more tangible outcomes of the first funding period is the February motif of the DFG calendar 2014

Gerd, 2014-01-07