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arXiv · 1409.0976

The cut-and-paste process

Harry Crane
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Abstract

We characterize the class of exchangeable Feller processes evolving on partitions with boundedly many blocks. In continuous-time, the jump measure decomposes into two parts: a $σ$-finite measure on stochastic matrices and a collection of nonnegative real constants. This decomposition prompts a Lévy-Itô representation. In discrete-time, the evolution is described more simply by a product of independent, identically distributed random matrices.

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Harry Crane. 2014-09-03. The cut-and-paste process. https://doi.org/10.1214/14-aop922

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