Cameron Davies

most citedClassifying minimum energy states for interacting particles: Regular simplices

12 citations · 12 across the 3 of their papers we have counts for

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math.OC2024

Bounds and Limiting Minimizers for a Family of Interaction Energies

Cameron Davies

We study a two parameter family of energy minimization problems for interaction energies $E_{α, β}$ with attractive-repulsive potential $W_{α, β}$ . We develop a concavity p…

math.OC2021

Classifying minimum energy states for interacting particles: Spherical Shells

Cameron Davies, Tongseok Lim, Robert J. McCann

Particles interacting through long-range attraction and short-range repulsion given by power-laws have been widely used to model physical and biological systems, and to predict or…