Dimensionality of Local Minimizers of the Interaction Energy
Journal Article
(2013)
Author(s)
D. Balagué Guardia (Universitat Autònoma de Barcelona)
Jose Antonio Carrillo (Imperial College London)
Thomas Laurent (University of California)
Gael Raoul (CNRS)
Affiliation
External organisation
DOI related publication
https://doi.org/10.1007/s00205-013-0644-6
To reference this document use:
https://resolver.tudelft.nl/uuid:e4d96577-b153-433a-b6cf-7b6d210be37e
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Publication Year
2013
Language
English
Affiliation
External organisation
Issue number
3
Volume number
209
Pages (from-to)
1055–1088
Abstract
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.
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