A description of the Zeta map on Dyck paths area sequences

2022/05/12 by Viviane Pons, Pons, Viviane
Mathematics · #Mathematical Dynamics and Fractals #Advanced Combinatorial Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2205.06375

Abstract

We give a description of the well known Zeta map on Dyck paths which sends the dinv,area statistics to the area,bounce statistics. Our description uses Dyck paths area sequences and can be implemented easily.

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