37 citations · 40 across the 3 of their papers we have counts for
4 papers
A note on overrelaxation in the Sinkhorn algorithm
Tobias Lehmann, Max-K. von Renesse, Alexander Sambale +1
We derive an a priori parameter range for overrelaxation of the Sinkhorn algorithm, which guarantees global convergence and a strictly faster asymptotic local convergence. Guided b…
Darwinian evolution as Brownian motion on the simplex: A geometric perspective on stochastic replicator dynamics
Tobias Lehmann
We prove that stochastic replicator dynamics can be interpreted as intrinsic Brownian motion on the simplex equipped the Aitchison geometry. As an immediate consequence we derive t…
On Dean-Kawasaki Dynamics with Smooth Drift Potential
Vitalii Konarovskyi, Tobias Lehmann, Max von Renesse
We consider the Dean-Kawasaki equation with smooth drift interaction potential and show that measure valued solutions exist only in certain parameter regimes in which case they are…
Dean-Kawasaki Dynamics: Ill-posedness vs. Triviality
Tobias Lehmann, Vitalii Konarovskyi, Max-K. von Renesse
We prove that the Dean-Kawasaki SPDE admits a solution only in integer parameter regimes, in which case the solution is given in terms of non-interacting particles.