most citedTight Lower Bound for Pattern Avoidance and Symmetric Functions

2 citations · 3 across the 3 of their papers we have counts for

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3 papers

math.CO2023★ 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…

math.CO2023

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.CO2022★ 2 cited

Tight Lower Bound for Pattern Avoidance and Symmetric Functions

Avichai Marmor

For a set of permutations (patterns) in , consider the set of permutations in that avoid all patterns in . In current algebraic combinatorics, a significant probl…