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20242026
most citedInverting Laguerre tessellations: Recovering tessellations from the volumes and centroids of their cells using optimal transport

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math.OC2025

A definition of the background state of the atmosphere using optimal transport

Charlie Egan, John Methven, David P. Bourne +1

The dynamics of atmospheric disturbances are often described in terms of displacements of air parcels relative to their locations in a notional background state. Modified Lagrangia…

math.AP2025

Semi-discrete optimal transport techniques for the compressible semi-geostrophic equations

David P. Bourne, Charlie P. Egan, Théo Lavier +1

We prove existence of weak solutions of the 3D compressible semi-geostrophic (SG) equations with compactly supported measure-valued initial data. These equations model large-scale…