3 papers
math.OC2026
Polynomial diagrams for microstructure modelling
David P. Bourne, Maciej Buze, Thomas Gallouët +1
We formulate a framework of polynomial diagrams, which are a generalisation of power diagrams (PDs) and anisotropic power diagrams (APDs) allowing for boundaries between cells to b…
cond-mat.mtrl-sci2026
Resolving Structural Avalanches in Amorphous Carbon with Arclength Continuation
Fraser Birks, Ibrahim Ghanem, Lars Pastewka +2
Plastic deformation in amorphous solids is carried by localized shear transformations that self-organize into avalanches. In amorphous carbon modeled with a machine-learned interat…
math.OC2025
Constrained Hellinger-Kantorovich barycenters: least-cost soft and conic multi-marginal formulations
Maciej Buze
We show that the problem of finding the barycenter in the Hellinger-Kantorovich setting admits a least-cost soft multi-marginal formulation, provided that a one-sided hard marginal…