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The discrepancy of greater-than

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arxiv 2309.08703 v1 pith:P2OLVQPC submitted 2023-09-15 cs.CC math.CO

classification cs.CCmath.CO
keywords discrepancygreater-thanfraclowermatrixordertermstimes
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abstract

The discrepancy of the $n \times n$ greater-than matrix is shown to be $\frac{\pi}{2 \ln n}$ up to lower order terms.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Equality is Far Weaker than Constant-Cost Communication

    cs.CC 2025-07 conditional novelty 7.0 of 10

    There is a communication problem with constant randomized cost that requires Ω(√n) deterministic queries to an Equality oracle, so constant-cost randomness cannot be efficiently derandomized by equality checks.

  2. Block structure in boolean matrices of bounded factorization norm

    math.CA 2025-07 conditional novelty 6.0 of 10

    A boolean matrix with gamma-2 norm at most lambda contains a blocky submatrix that covers at least a 1/2^{2^{O(lambda)}} fraction of its 1-entries.

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