Random fields

• 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 goal of this project is the analysis of level and excursion sets of random fields with discontinuities and their applications in physics. We will calculate correlations of local curvatures and of tensorial valuations for Gaussian random fields and use it in cooperation with H.E.S.S. (High Energy Stereoscopic System) to analyse morphometrically sky maps obtained from Cherenkov telescopes. We will also investigate Minkowski functionals and support measures of paths of self-similar random processes and their convex hulls.

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