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Spectral Gap for the Binary Fixed-Margin Swap Chain

math.PR · 2026-06-21 · unverdicted · novelty 8.0

Proves spectral gap lower bound of binom(m,2)^{-1} binom(n,2)^{-1} for the lazy swap chain on m by n binary matrices with arbitrary feasible margins, resolving the Kannan-Tetali-Vempala conjecture.

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  • Spectral Gap for the Binary Fixed-Margin Swap Chain math.PR · 2026-06-21 · unverdicted · none · ref 24

    Proves spectral gap lower bound of binom(m,2)^{-1} binom(n,2)^{-1} for the lazy swap chain on m by n binary matrices with arbitrary feasible margins, resolving the Kannan-Tetali-Vempala conjecture.