Contact (Karlsruhe)
Prof. Dr. Günter Last
Karlsruhe Institute of Technology
Institut für Stochastik
Kaiserstraße 89
76133 Karlsruhe
Phone: +49-721-608 43265
Fax: +49-721-608 46691
Contact (Erlangen)
Prof. Dr. Klaus Mecke
Universität Erlangen-Nürnberg
Institut für Theoretische Physik
Staudtstraße 7
91058 Erlangen
Phone: +49-9131-85 28442
Fax: +49-9131-85 28444
Contact (Aarhus)
Department of Mathematical Sciences
Ny Munkegade 118
building 1530
8000 Aarhus C



Summary of the Research Unit

The set up of the Research Unit entitled “Geometry and Physics of Random Spatial Systems” by the German Research Foundation in February 2011 provides a bridge between mathematics and physics. Its object of research is the study of the geometry and physics of random structures in space. On the mathematical side it is all about the development of methods and models of spatial stochastics and, in particular of stochastic geometry. It is investigated, what relevance these mathematical tools have for the physics of complex structured materials, which draws a line to solid-state and statistical physics. The participating physicists deal inter alia with the analysis of the structure of the galaxy distribution in the universe and mesoscopic structures in micro-emulsions by the developed stochastic methods. The research projects, involving also Danish scientists, are mainly of meaning because of the very numerous applications of stochastic geometry in the analysis, modeling and simulation of microscopic and macroscopic geometric structures.


1. Tensor valuations

Project leaders: Daniel Hug, Klaus Mecke
Positions: 1 PhD-student (Karlsruhe)

2. Tessellations and hard-core particle systems

Project leaders: Günter Last, Gerd Schröder-Turk
Positions: 1 PhD-student (Karlsruhe), 1 PostDoc (Erlangen)

3. Boolean models

Project leaders: Daniel Hug, Günter Last
Positions: 1 PostDoc (Karlsruhe)

4. Random fields

Project leaders: Günter Last, Klaus Mecke
Positions: 1 PhD-student (Erlangen)

5. Percolation

Project leaders: Günter Last, Klaus Mecke
Positions: 1 PhD-student (Karlsruhe)

6. Image analysis and spatial statistics

Project leaders: Eva B. Vedel Jensen, Markus Kiderlen
Positions: 1 PostDoc (Aarhus)