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Stochastically evolving ellipsoids with symmetries

math.MG · 2026-06-03 · unverdicted · novelty 5.0

Proves lattice sphere packings in R^N achieve density at least c N² loglog N 2^{-N} for infinitely many N, improving Klartag's bound via stochastic ellipsoid evolution with cyclotomic symmetries.

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  • Stochastically evolving ellipsoids with symmetries math.MG · 2026-06-03 · unverdicted · none · ref 14

    Proves lattice sphere packings in R^N achieve density at least c N² loglog N 2^{-N} for infinitely many N, improving Klartag's bound via stochastic ellipsoid evolution with cyclotomic symmetries.