1 citations · 1 across the 6 of their papers we have counts for
7 papers
Maximal monotonicity and contraction semigroup for the quantum drift-diffusion (Derrida-Lebowitz-Speer-Spohn) equation
Daniel Matthes, Giuseppe Savaré, André Schlichting
We study the quantum drift-diffusion, or Derrida-Lebowitz-Speer-Spohn (DLSS), equation for a nonnegative density on a bounded convex domain with Neumann boundary conditio…
Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds
Anna Shalova, André Schlichting
We study stationary solutions of McKean-Vlasov equation on a high-dimensional sphere and other compact Riemannian manifolds. We extend the equivalence of the energetic problem form…
Diffusive transport on the real line: semi-contractive gradient flows and their discretization
Daniel Matthes, Eva-Maria Rott, André Schlichting
The diffusive transport distance, a novel pseudo-metric between probability measures on the real line, is introduced. It generalizes Martingale optimal transport, and forms a hiera…
Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits
Georg Heinze, Jan-Frederik Pietschmann, André Schlichting
We study evolution equations on metric graphs with reservoirs, that is graphs where a one-dimensional interval is associated to each edge and, in addition, the vertices are able to…
Singular-limit analysis of gradient descent with noise injection
Anna Shalova, André Schlichting, Mark Peletier
We study the limiting dynamics of a large class of noisy gradient descent systems in the overparameterized regime. In this regime the set of global minimizers of the loss is large,…
Variational convergence for an irreversible exchange-driven stochastic particle system
Jasper Hoeksema, Chun Yin Lam, André Schlichting
We show the variational convergence of an irreversible Markov jump process describing a finite stochastic particle system to the solution of a countable infinite system of determin…
A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport
Daniel Matthes, Eva-Maria Rott, Giuseppe Savaré +1
We propose a spatial discretization of the fourth-order nonlinear DLSS equation on the circle. Our choice of discretization is motivated by a novel gradient flow formulation with r…