Multivariate stable Eulerian polynomials on segmented permutations

DOI10.1016/j.ejc.2019.02.004zbMath1492.11049arXiv1807.00984OpenAlexW2963409027WikidataQ128267154 ScholiaQ128267154MaRDI QIDQ2422219

Xutong Zhang, Philip B. Zhang

Publication date: 18 June 2019

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.00984

zbMATH Keywords

stabilitygeneralized Eulerian polynomialsBrändén's stable multivariate Eulerian polynomialsNunge's conjecture

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05)

Related Items (3)

The \(\gamma \)-positive coefficients arising in segmented permutations ⋮ Statistics on multipermutations and partial \(\gamma\)-positivity ⋮ A generalized Eulerian triangle from staircase tableaux and tree-like tableaux

Cites Work

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• Stable multivariate Eulerian polynomials and generalized Stirling permutations
• The Lee--Yang and Pólya--Schur programs. I: Linear operators preserving stability
• 2-species exclusion processes and combinatorial algebras
• An equivalence of multistatistics on permutations
• Stable multivariate \(W\)-Eulerian polynomials
• Proof of the Monotone Column Permanent Conjecture
• Unimodality, log-concavity, real-rootedness and beyond
• Multivariate stable polynomials: theory and applications
• Eulerian Polynomials: From Euler’s Time to the Present
• Eulerian Numbers

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