3 papers
math.AP2026
On De Giorgi's lemma for variational interpolants in metric and Banach spaces
Alexander Mielke, Riccarda Rossi
Variational interpolants are an indispensable tool for the construction of gradient-flow solutions via the Minimizing Movement Scheme. The De Giorgi lemma provides the associated d…
math-ph2025
Some notes on the Hellinger distance and various Fisher-Rao distances
Alexander Mielke
These expository notes introduce the Hellinger distance on the set of all measures and the induced Fisher-Rao distances for subsets of measures, such as probability measures or Gau…
physics.chem-ph2025
Chemical Space of Molecular Nanomotors: Optimizing Photochemical Properties for One- and Two-photon Applications
Alexander Mielke, Alexander Scrimgeour, Enrico Tapavicza
Light-driven molecular nanomotors hold promise for applications in material science and biomedicine. Significant efforts have focused on improving their efficiency, often targeting…