125 citations · 859 across the 68 of their papers we have counts for
4 papers · 2 filters
Optimality of the triangular lattice for a particle system with Wasserstein interaction
D. P. Bourne, M. A. Peletier, F. Theil
We prove strong crystallization results in two dimensions for an energy that arises in the theory of block copolymers. The energy is defined on sets of points and their weights, or…
Conservative-dissipative approximation schemes for a generalized Kramers equation
Manh Hong Duong, Mark A. Peletier, Johannes Zimmer
We propose three new discrete variational schemes that capture the conservative-dissipative structure of a generalized Kramers equation. The first two schemes are single-step minim…
Asymptotic behaviour of a pile-up of infinite walls of edge dislocations
Marc Geers, Ron Peerlings, Mark Peletier +1
We consider a system of parallel straight edge dislocations and we analyse its asymptotic behaviour in the limit of many dislocations. The dislocations are represented by points in…
Large deviations and gradient flows
Stefan Adams, Nicolas Dirr, Mark A. Peletier +1
In recent work [1] we uncovered intriguing connections between Otto's characterisation of diffusion as entropic gradient flow [16] on one hand and large-deviation principles descri…