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# Equilibrium measures for nonlocal interaction energies: The role of anisotropy.

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by

→
Europe/Paris

https://webconf.math.cnrs.fr/b/pau-fvx-pac (mdp 343477) (À distance)
### https://webconf.math.cnrs.fr/b/pau-fvx-pac (mdp 343477)

#### À distance

Description

Particle systems subject to long-range interactions can be described, for large numbers of particles, in terms of

continuum models involving nonlocal energies. For radially symmetric interaction kernels, several authors have

established qualitative properties of minimizers for this kind of energies. But what can be said for anisotropic

kernels? Starting from an example that describes dislocation interactions in metals, I will discuss how the

anisotropy may affect the equilibrium measure and, in particular, its dimensionality.

Organized by

Clément Sarrazin

Clément Sarrazin