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.
Mean value for random ideal lattices.Preprint, arXiv:math.NT/2411.14973
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A survey of dimension-free entrywise positivity preservers with links to metric embeddings, Schur polynomials, finite fields, and an appendix on sphere packings via Schoenberg's theorem.
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The entrywise calculus and dimension-free positivity preservers, with an Appendix on sphere packings
A survey of dimension-free entrywise positivity preservers with links to metric embeddings, Schur polynomials, finite fields, and an appendix on sphere packings via Schoenberg's theorem.