Benjamin Testart

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20222026

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math.CO2026

Iterating the Lehmer code on inversion sequences: Catalan fixed points and finite stabilization

Julian Allagan, Shanzhen Gao, Benjamin Testart

We study an operator $Θ$ on finite integer sequences, where $Θ (σ)_{i}$ counts the entries to the left of $σ_{i}$ that are strictly smaller than $σ_{i}$ . This operator is a variant of the…

math.CO2026

On minimal pattern-containing inversion sequences

Benjamin Testart

We introduce the notion of minimal inversion sequences for a pattern $ρ$ , which form the smallest set of inversion sequences whose avoidance is equivalent to the avoidance of $ρ$ f…