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Multivariate Eulerian Polynomials and Exclusion Processes
| Content Provider | Scilit |
|---|---|
| Author | Brändén, P. Leander, M. Visontai, M. |
| Copyright Year | 2016 |
| Description | We give a new combinatorial interpretation of the stationary distribution of the (partially) asymmetric exclusion process on a finite number of sites in terms of decorated alternative trees and coloured permutations. The corresponding expressions of the multivariate partition functions are then related to multivariate generalisations of Eulerian polynomials for coloured permutations considered recently by N. Williams and the third author, and others. We also discuss stability and negative dependence properties satisfied by the partition functions. |
| Related Links | http://arxiv.org/pdf/1405.6919 http://arxiv.org/abs/1405.6919 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/A791877AF5E1389A26BCBBE8431F55AE/S0963548316000031a.pdf/div-class-title-multivariate-eulerian-polynomials-and-exclusion-processes-div.pdf |
| Ending Page | 499 |
| Page Count | 14 |
| Starting Page | 486 |
| ISSN | 09635483 |
| e-ISSN | 14692163 |
| DOI | 10.1017/s0963548316000031 |
| Journal | Combinatorics, Probability and Computing |
| Issue Number | 4 |
| Volume Number | 25 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2016-07-01 |
| Access Restriction | Open |
| Subject Keyword | Combinatorics, Probability and Computing Artificial Intelligence Primary 60c05 Secondary 05a19 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Statistics and Probability Theoretical Computer Science Computational Theory and Mathematics |
