The cut-and-paste process
Probability
2014-09-04 v1
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 -finite measure on stochastic matrices and a collection of nonnegative real constants. This decomposition prompts a L\'evy-It\^o representation. In discrete-time, the evolution is described more simply by a product of independent, identically distributed random matrices.
Keywords
Cite
@article{arxiv.1409.0976,
title = {The cut-and-paste process},
author = {Harry Crane},
journal= {arXiv preprint arXiv:1409.0976},
year = {2014}
}
Comments
Published in at http://dx.doi.org/10.1214/14-AOP922 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)