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Knuth, Donald E · 1993 · DOI 10.2307/2152953

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Cutoff for asymmetric shelf shuffle

math.PR · 2026-06-16 · unverdicted · novelty 6.0

Asymmetric shelf shuffle on n cards mixes to uniform with TV cutoff at m = c n^{3/2} and explicit profile 1-2Φ(-|2p-1|/(4√3 c)) + O(n^{-1/2}).

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  • Cutoff for asymmetric shelf shuffle math.PR · 2026-06-16 · unverdicted · none · ref 35

    Asymmetric shelf shuffle on n cards mixes to uniform with TV cutoff at m = c n^{3/2} and explicit profile 1-2Φ(-|2p-1|/(4√3 c)) + O(n^{-1/2}).