Name
Abstract | ||
|---|---|---|
Let Omega(n, Q) be the set of partitions of n into summands that are elements of the set A = {Q(k) : k is an element of Z(+)}. Here Q is an element of Z[x] is a fixed polynomial of degree d > 1 which is increasing on R+, and such that Q(m) is a non negative integer tor every integer m > 0. For every lambda is an element of Omega(n, Q), let Me(lambda) be the number of parts, with multiplicity, that.X has lambda Put a uniform probability distribution on Omega(n, Q), and regaxl M-n, as a random variable. The limiting density of the random variable M-n, (suitably normalized) is determined explicitly. For specific choices of Q, the limiting density has appeared before in rather different contexts such as Kingman's coalescent, and processes associated with the maxima of Brownian bridge and Brownian meander processes. |
Year | Venue | DocType |
|---|---|---|
2006 | SIAM PROCEEDINGS SERIES | Conference |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| William M. Y. Goh | 1 | 37 | 9.89 |
| Pawel Hitczenko | 2 | 52 | 15.48 |