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math-ph2019
Crystallization for Coulomb and Riesz Interactions as a Consequence of the Cohn-Kumar Conjecture
Mircea Petrache, Sylvia Serfaty
The Cohn-Kumar conjecture states that the triangular lattice in dimension 2, the lattice in dimension 8, and the Leech lattice in dimension 24 are universally minimizing in t…
math-ph2019
Local laws and rigidity for Coulomb gases at any temperature
Scott Armstrong, Sylvia Serfaty
We study Coulomb gases in any dimension and in a broad temperature regime. We prove local laws on the energy, separation and number of points down to the microscopic sca…