3 papers
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…
math.AP2024
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…