Dimensionality of Local Minimizers of the Interaction Energy
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🧮 math.AP
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localminimizersenergyinteractionpotentialassociatedconsiderdimensionality
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In this work we consider local minimizers (in the topology of transport distances) of the interaction energy associated to a repulsive-attractive potential. We show how the imensionality of the support of local minimizers is related to the repulsive strength of the potential at the origin.
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