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20212026
most citedParity statistics on restricted permutations and the Catalan--Schett polynomials

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

math.CO2026

An explicit formula for Koornwinder moments and Rains' positivity conjecture

Younggwang Cho, Donghyun Kim, Jang Soo Kim +3

The asymmetric simple exclusion process (ASEP) is an important particle model with deep connections to orthogonal polynomials. Motivated by this connection, Corteel and Williams in…

math.CO2026

Proof of a Conjecture on Young Tableaux with Walls

Zhicong Lin, Feihu Liu, Jiahang Liu +2

Banderier, Marchal, and Wallner considered Young tableaux with walls, which are similar to standard Young tableaux, except that local decreases are allowed at some walls. In this w…

math.CO2025

A bijection between - and -avoiding permutations preserving -stack-sortability

Yang Li, Sergey Kitaev, Zhicong Lin +1

We construct a bijection between - and -avoiding permutations that preserves the property of -stack-sortability. Our bijection transforms natural statistics between th…

math.CO2024★ 1 cited

Parity statistics on restricted permutations and the Catalan--Schett polynomials

Zhicong Lin, Jing Liu, Sherry H. F. Yan

Motivated by Kitaev and Zhang's recent work on non-overlapping ascents in stack-sortable permutations and Dumont's permutation interpretation of the Jacobi elliptic functions, we i…

math.CO2021

Proof of Dilks' bijectivity conjecture on Baxter permutations

Zhicong Lin, Jing Liu

Baxter permutations originally arose in studying common fixed points of two commuting continuous functions. In 2015, Dilks proposed a conjectured bijection between Baxter permutati…