Partition Structures Derived from Brownian Motion and Stable Subordinators

Abstract

Explicit formulae are obtained for the distribution of various random partitions of a positive integer n, both ordered and unordered, derived from the zero set M of a Brownian motion by the following scheme: pick n points uniformly at random from [0; 1], and classify them by whether they fall in the same or di erent component intervals of the complement of… (More)

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@inproceedings{Pitman1996PartitionSD, title={Partition Structures Derived from Brownian Motion and Stable Subordinators}, author={Jim W. Pitman}, year={1996} }