On the sweep map for fuss rational Dyck paths

DOI10.1016/j.aam.2020.101998zbMath1433.05320arXiv1807.07458OpenAlexW3001433302WikidataQ126324719 ScholiaQ126324719MaRDI QIDQ2300586

Guoce Xin, Adriano M. Garsia

Publication date: 27 February 2020

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07458

zbMATH Keywords

\(q, t\)-Catalan polynomials

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of representation theory (05E10) Combinatorial aspects of commutative algebra (05E40)

Related Items (1)

From Dyck paths to standard Young tableaux

Cites Work

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• Rational parking functions and Catalan numbers
• Sweep maps: a continuous family of sorting algorithms
• Dinv and area
• Inverting the rational sweep map
• Compactified Jacobians and \(q,t\)-Catalan numbers. I.
• Conjectured statistics for the higher \(q,t\)-Catalan sequences
• A proof of the \(q,t\)-Catalan positivity conjecture
• A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
• A note on rank complement of rational Dyck paths and conjugation of \((m,n)\)-core partitions
• Compactified Jacobians and \(q,t\)-Catalan numbers. II
• A problem of arrangements
• Sweeping up zeta

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