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- W2122024168 abstract "We prove that Boolean functions on S n whose Fourier transform is highly concentrated on the first two irreducible representations of S n , are close to being unions of cosets of point-stabilizers. We use this to give a natural proof of a stability result on intersecting families of permutations, originally conjectured by Cameron and Ku [6], and first proved in [10]. We also use it to prove a ‘quasi-stability’ result for an edge-isoperimetric inequality in the transposition graph on S n , namely that subsets of S n with small edge-boundary in the transposition graph are close to being unions of cosets of point-stabilizers." @default.
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- W2122024168 date "2014-09-29" @default.
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- W2122024168 title "A quasi-stability result for dictatorships in S n" @default.
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- W2122024168 doi "https://doi.org/10.1007/s00493-014-3027-1" @default.
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