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AG Erbar

© Universität Bielefeld

Research

Current research interests

Partial differential equations, analysis and geometry in singular spaces (graphs, metric measure spaces), optimal transport

Research projects

  • Variational structures for evolution equations, optimal transport, and synthetic curvature within SFB1283 Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications   
  • Optimal transport for stationary point processes (with M. Huesmann) within SPP 2265 Random geometric systems
  • Ricci flows for non-smooth spaces, monotonic quantities, and rigidity (with K.T. Sturm)
  • within SPP 2026 Geometry at infinity 
  • Wasserstein geometry, Ricci curvature and geometric analysis (with K.T. Sturm)
  • within CRC 1060 Mathematics of Emergent Effects, 2017-2020
  • Entropic Ricci curvature of interacting particle systems and their mean-field limits (with M. Fathi), DAAD-Procope PPP, 2018-2019
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