most citedBounds for Characters of the Symmetric Group: A Hypercontractive Approach

1 citations · 1 across the 2 of their papers we have counts for

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math.CO2026

Schur-Positivity of Short Chords in Matchings

Avichai Marmor

We prove that the set of matchings with a fixed number of unmatched vertices is Schur-positive with respect to the set of short chords. Two proofs are presented. The first proof ap…

math.CO2026★ 1 cited

Bounds for Characters of the Symmetric Group: A Hypercontractive Approach

Noam Lifshitz, Avichai Marmor

Finding upper bounds for character ratios is a fundamental problem in asymptotic group theory. Previous bounds in the symmetric group have led to remarkable applications in unexpec…