Optimal transport and random measures (B03)

• Subject Area: Mathematics
• Term: since 2013
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 211504053

The goal of project B03 is to study diffusions and gradient flows on spaces of measures with methods from optimal transport. The diffusions under consideration will be versions of Brownian motions, e.g. with Gamma, Dirichlet-Ferguson, or entropic measure as invariant distributions. The project also aims to explore optimal transport techniques beyond the traditional scope of gradient flows for semiconvex functionals on Wasserstein spaces, addressing the challenges arising from singular, highly non-convex boundary conditions and interaction potentials.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1060: The Mathematics of Emergent Effects
• Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn
• Project Heads: Professor Dr. Martin Huesmann, until 10/2018; Professor Dr. Karl-Theodor Sturm