Publication: On Poisson-Dirichlet limits for random decomposable combinatorial structures
On Poisson-Dirichlet limits for random decomposable combinatorial structures
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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. https://doi.org/10.1017/S0963548399003788
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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.
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- Arratia, R
- Barbour, A D
- Tavaré, S
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Citations
Arratia, R., Barbour, A. D., & Tavaré, S. (1999). On Poisson-Dirichlet limits for random decomposable combinatorial structures. Combinatorics, Probability & Computing, 8(3), 193–208. https://doi.org/10.1017/S0963548399003788
