141 citations · 518 across the 34 of their papers we have counts for
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Systems of Points with Coulomb Interactions
Sylvia Serfaty
Large ensembles of points with Coulomb interactions arise in various settings of condensed matter physics, classical and quantum mechanics, statistical mechanics, random matrices a…
Microscopic description of Log and Coulomb gases
Sylvia Serfaty
These are the lecture notes of a course taught at the Park City Mathematics Institute in June 2017. They are intended to review some recent results, obtained in large part with Tho…
Quantitative stability of the free boundary in the obstacle problem
Sylvia Serfaty, Joaquim Serra
We prove some detailed quantitative stability results for the contact set and the solution of the classical obstacle problem in () under perturbations of th…
CLT for fluctuations of -ensembles with general potential
Florent Bekerman, Thomas Leblé, Sylvia Serfaty
We prove a central limit theorem for the linear statistics of one-dimensional log-gases, or -ensembles. We use a method based on a change of variables which allows to treat fair…
A branched transport limit of the Ginzburg-Landau functional
Sergio Conti, Michael Goldman, Felix Otto +1
We study the Ginzburg-Landau model of type-I superconductors in the regime of small external magnetic fields. We show that, in an appropriate asymptotic regime, flux patterns are d…
Large deviation principles for hypersingular Riesz gases
Douglas P. Hardin, Thomas Leblé, Edward B. Saff +1
We study -particle systems in R^d whose interactions are governed by a hypersingular Riesz potential , , and subject to an external field. We provide both macro…