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20102024
most citedNext Order Asymptotics and Renormalized Energy for Riesz Interactions

93 citations · 97 across the 11 of their papers we have counts for

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math.AP2024

Clearing-out of dipoles for minimisers of 2-dimensional discrete energies with topological singularities

Adriana Garroni, Mircea Petrache, Emanuele Spadaro

A key question in the analysis of discrete models for material defects, such as vortices in spin systems and superconductors or isolated dislocations in metals, is whether informat…

math.AP2024

Existence and uniqueness of Monge minimizers for a Multi-marginal Optimal Transport problem with intermolecular interactions cost

Augusto Gerolin, Mircea Petrache, Adolfo Vargas-Jimenez

We investigate a new multi-marginal optimal transport problem arising from a dissociation model in the Strong Interaction Limit of Density Functional Theory. In this short note, we…

math.AP2010

Existence of solutions to a higher dimensional mean-field equation on manifolds

Luca Martinazzi, Mircea Petrache

For we prove an existence result for the equation on a closed Riemannian manifold of dimension for certa…