3 papers
math.AP2025
Well-Posedness for Dean-Kawasaki Models of Vlasov-Fokker-Planck Type
Fenna Müller, Max von Renesse, Johannes Zimmer
We consider systems of interacting particles which are described by a second order Langevin equation. The class of equations considered includes the situation where the particle ev…
quant-ph2025
Interferometric Mass Photometry at the Quantum Limit of Sensitivity
Fabian Müller, Emre Köse, Alfred J. Meixner +2
We present an innovative optical imaging system for measuring parameters of a small particle such as a macromolecule or nanoparticle at the quantum limit of sensitivity. In compari…
math.PR2024
Dean-Kawasaki equation with initial condition in the space of positive distributions
Vitalii Konarovskyi, Fenna Müller
We show that the Dean--Kawasaki equation does not admit nontrivial solutions in the space of tempered measures. More specifically, we consider martingale solutions taking values, a…