Proof of the Monotone Column Permanent Conjecture
DOI10.1007/978-3-0348-0142-3_5zbMath1252.15007arXiv1010.2565OpenAlexW1494524200MaRDI QIDQ2911818
David G. Wagner, Mirkó Visontai, Petter Brändén, James Haglund
Publication date: 3 September 2012
Published in: Notions of Positivity and the Geometry of Polynomials (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.2565
permanentnegative associationRayleighEulerian polynomialstable polynomialFerrers matrixGrace's apolarity theoremonly real rootsstrongly Rayleigh
Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Determinants, permanents, traces, other special matrix functions (15A15) Zero sets of holomorphic functions of several complex variables (32A60)
Related Items (9)
Cites Work
- A multiindexed Sturm sequence of polynomials and unimodality of certain combinatorial sequences
- The Lee--Yang and Pólya--Schur programs. I: Linear operators preserving stability
- Negatively correlated random variables and Mason's conjecture for independent sets in matroids
- Van der Waerden/Schrijver-Valiant like conjectures and stable (aka hyperbolic) homogeneous polynomials: one theorem for all
- Further investigation involving rook polynomials with only real zeros
- Polynomials with the half-plane property and matroid theory
- A proof of the monotone column permanent (MCP) conjecture for dimension 4 via sums-of-squares of rational functions
- Multivariate stable polynomials: theory and applications
- Multivariate Pólya-Schur classification problems in the Weyl algebra
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Proof of the Monotone Column Permanent Conjecture