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Stability conjecture for Hamming spheres and balls under noise
Let a Hamming sphere or Hamming ball be a subset of the discrete cube, and let its noise stability be measured at a given noise level among sets of the same cardinality. Hamming-sp…
Conjecturesolveddiscrete-cube hamming-spheres noise-stabilityarXiv posted 2 days ago
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Kirshner–Samorodnitsky conjecture on additive energy on Hamming spheres
Kirshner–Samorodnitsky conjecture. One has
Conjectureopenadditive-combinatorics gowers-norms hamming-spheresarXiv posted 2 days ago

Stability conjecture for Hamming spheres and balls under noise