Avichai Marmor

activity

20222026

most citedTight Lower Bound for Pattern Avoidance and Symmetric Functions

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

collaborators

4 papers

math.GR2026

The Robust Thompson's Conjecture for Alternating Groups

Nathan Keller, Noam Lifshitz, Avichai Marmor +1

We show that there exists a constant $ε > 0$ such that if $C$ is a conjugacy class in $A_{n}$ of size at least $∣ A_{n} ∣^{1 - ε}$ , then $A_{n} ∖ {1} \subseteq C^{2}$ . This proves the…

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) $Π$ in $S_{k}$ , consider the set of permutations in $S_{n}$ that avoid all patterns in $Π$ . In current algebraic combinatorics, a significant probl…