Pawel Hitczenko
Drexel University
Title: Random partitions with parts in the range of a polynomial.

We consider some stochastic properties of integer partitions whose parts are confined to be from the range of a polynomial. Specifically, we equip a set of such partitions with the uniform discrete probability measure and under this assumption we will study the limiting distribution of the number of parts. The argument rests on what is referred to as Fristedt's conditioning device which provides a link between random partitions and sums of geometric random variables and which will be explained during the talk. Interestingly, specific choices of the polynomial lead to limiting densities that have appeared before in rather different contexts. Examples include Kingman's coalescent and Brownian meander. The talk is based on a joint work with Bill Goh (Drexel).
©2005, Department of Mathematical Sciences
Last Modified: November 22, 2005