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September 2014 The cut-and-paste process
Harry Crane
Ann. Probab. 42(5): 1952-1979 (September 2014). DOI: 10.1214/14-AOP922

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 $\sigma$-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. "The cut-and-paste process." Ann. Probab. 42 (5) 1952 - 1979, September 2014. https://doi.org/10.1214/14-AOP922

Information

Published: September 2014
First available in Project Euclid: 29 August 2014

zbMATH: 1317.60034
MathSciNet: MR3262496
Digital Object Identifier: 10.1214/14-AOP922

Subjects:
Primary: 60J25
Secondary: 60G09, 60J35

Rights: Copyright © 2014 Institute of Mathematical Statistics

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Vol.42 • No. 5 • September 2014
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