Percolation

• Applicants: Professor Dr. Günter Last; Professor Dr. Klaus Mecke
• Subject Area: Mathematics
• Term: from 2011 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 173504944

The project is concerned with the probabilistic and numerical analysis of some basic models of continuum percolation. One focus is on the relationship between global percolation properties and (locally evaluated) Minkowski functionals. Of particular interest is the behavior of these functionals at the critical threshold. Other topics are the analysis of the distribution of the cluster sizes in both sub- and supercritical models and geometric scaling properties of large clusters.

• DFG Programme: Research Units
• Subproject of: FOR 1548: Geometry and Physics of Spatial Random Systems