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3. Hyperuniformity and rigidity

    1.     Random hexagonal lattice has some nice properties — full rigidity, hyperuniformity. If the same can be established for the minimizers of the Riesz gas, one can hope to narrow down on $A_2$.

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      Problem 3.1.

      [Thomas Leblé] Prove rigidity and/or hyperuniformity of the minimizers of the Riesz gas.

          Cite this as: AimPL: Minimal energy problems with Riesz potentials, available at http://aimpl.org/energyrieszV.