162 citations · 1.3k across the 49 of their papers we have counts for
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math.PR2022
Monotonicity of the logarithmic energy for random matrices
Djalil Chafaï, Benjamin Dadoun, Pierre Youssef
It is well-known that the semi-circle law, which is the limiting distribution in the Wigner theorem, is the minimizer of the logarithmic energy penalized by the second moment. A ve…
math.PR2022★ 15 cited
Threshold condensation to singular support for a Riesz equilibrium problem
Djalil Chafaï, Edward B. Saff, Robert S. Womersley
We compute the equilibrium measure in dimension d=s+4 associated to a Riesz s-kernel interaction with an external field given by a power of the Euclidean norm. Our study reveals th…