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Arratia, R; Barbour, A D; Tavaré, S (1999). On Poisson-Dirichlet limits for random decomposable combinatorial structures. Combinatorics, Probability & Computing, 8(3):193-208.
We prove a joint local limit law for the distribution of the r largest components of decomposable logarithmic combinatorial structures, including assemblies, multisets and selections. Our method is entirely probabilistic, and requires only weak conditions that may readily be verified in practice.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Theoretical Computer Science
Physical Sciences > Statistics and Probability Physical Sciences > Computational Theory and Mathematics Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 1999 |
| Deposited On: | 07 Apr 2010 13:26 |
| Last Modified: | 07 Jan 2025 04:41 |
| Publisher: | Cambridge University Press |
| ISSN: | 0963-5483 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1017/S0963548399003788 |
Arratia, R