Dimensionality of Local Minimizers of the Interaction Energy
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- Balagué, D., Carrillo, J.A., Laurent, T. et al. Arch Rational Mech Anal (2013) 209: 1055. doi:10.1007/s00205-013-0644-6
In this work we consider local minimizers (in the topology of transport distances) of the interaction energy associated with a repulsive–attractive potential. We show how the dimensionality of the support of local minimizers is related to the repulsive strength of the potential at the origin.