Geometry of infinite clusters in continuum percolation models with strong correlations

• Applicant: Professor Dr. Artem Sapozhnikov
• Subject Area: Mathematics
• Term: since 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 443849139

In the last ten years tremendous progress has been achieved in understanding lattice models of percolation with strong correlations, both in particular examples such as random interlacements as well as in general systems. The objects of this research proposal are percolation models in continuum with long-range spatial correlations. Some examples are the Boolean model, the Brownian interlacements, the Poisson cylinders and their vacant sets. The main focus will lie on the development of new tools to address difficulties intrinsic to continuum models.

• DFG Programme: Priority Programmes
• Subproject of: SPP 2265: Random geometric systems