Dimensionality of Local Minimizers of the Interaction Energy

None, None; None, None; None, None; None, None

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 (Centre National de la Recherche Scientifique (CNRS))

Affiliation

External organisation

Hausdorff dimension Local Minimizer Interaction Energy Borel Probability Measure Attractive Potential

DOI related publication

https://doi.org/10.1007/s00205-013-0644-6 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:e4d96577-b153-433a-b6cf-7b6d210be37e

More Info

expand_more

Publication Year

2013

Language

English

Affiliation

External organisation

Journal title

Archive for Rational Mechanics and Analysis

Issue number

3

Volume number

209

Pages (from-to)

1055–1088

Downloads counter

124

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.