Ginzburg-Landau vortices, Coulomb Gases, and Renormalized Energies
Sylvia Serfaty
TL;DR
This review explores the mathematical connections between vortices in superconductivity, Coulomb gases, and the concept of renormalized energies, highlighting recent theoretical advances in these interconnected areas.
Contribution
It synthesizes recent results linking Ginzburg-Landau vortices, Coulomb gases, and renormalized energies, emphasizing their mathematical relationships and implications.
Findings
Unified framework for vortices and Coulomb gases
Insights into renormalized energy concepts
Connections between physical models and mathematical structures
Abstract
This is a review about a series of results on vortices in the Ginzburg-Landau model of superconductivity on the one hand, and point patterns in Coulomb gases on the other hand, as well as the connections between the two topics.
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