125 citations · 859 across the 68 of their papers we have counts for
74 papers
Why does entropy drive evolution equations?
Mark A. Peletier
`Entropy' appears as driving force in many different evolution equations, both deterministic and stochastic, and in these equations this `entropy' also takes different forms. We sh…
Nonlinear diffusion limit of non-local interactions on a sphere
Mark A. Peletier, Anna Shalova
We study an aggregation PDE with competing attractive and repulsive forces on a sphere of arbitrary dimension. In particular, we consider the limit of strongly localized repulsion…
A geometric formulation of GENERIC stochastic differential equations
Mark A. Peletier, Marcello Seri
We propose a coordinate-invariant geometric formulation of the GENERIC stochastic differential equation, unifying reversible Hamiltonian and irreversible dissipative dynamics withi…
Global existence and mean-field limit for a stochastic interacting particle system of signed Coulomb charges
Patrick van Meurs, Mark A. Peletier, Thomas Slangen
We study a system of stochastic differential equations with singular drift which describes the dynamics of signed particles in two dimensions interacting by the Coulomb potential.…
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,…
Deriving a GENERIC system from a Hamiltonian system
Alexander Mielke, Mark A. Peletier, Johannes Zimmer
We reconsider the fundamental problem of coarse-graining infinite-dimensional Hamiltonian dynamics to obtain a macroscopic system which includes dissipative mechanisms. In particul…