Name
Abstract | ||
|---|---|---|
In this paper we outline a Matrix Ansatz approach to some problems of combinatorial enumeration. The idea is that many interesting quantities can be expressed in terms of products of matrices, where the matrices obey certain relations. We illustrate this approach with applications to moments of orthogonal polynomials, permutations, signed permutations, and tableaux. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.aam.2010.04.009 | Advances in Applied Mathematics |
Keywords | Field | DocType |
orthogonal polynomial,matrix ansatz approach,. orthogonal polynomials,interesting quantity,crossings,rook placements,moments,permutation tableaux,matrices obey certain relation,signed permutations,permutations,combinatorial enumeration,genocchi numbers.,combinatorics,orthogonal polynomials | Discrete mathematics,Ansatz,Combinatorics,Golomb–Dickman constant,Orthogonal polynomials,Matrix (mathematics),Mathematical analysis,Permutation,Enumeration,Mathematics | Journal |
Volume | Issue | ISSN |
46 | 1 | 0196-8858 |
Citations | PageRank | References |
2 | 0.48 | 20 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sylvie Corteel | 1 | 266 | 36.33 |
| Matthieu Josuat-Vergès | 2 | 30 | 5.58 |
| Lauren K. Williams | 3 | 78 | 9.16 |