A hydrodynamic limit and fluctuations for a Chinese restaurant-like process
Probability
2013-06-20 v1
Abstract
We study a Markov process constructed from the P\'olya sum process, which yields a kind of spatial version of the Chinese restaurant process, where each 'table' is assigned a 'location'. This construction firstly allows a definition of summation of independent processes, and secondly a monotone coupling for different parameters. Moreover, the process is related to a multi-particle random walk on the positive integers and its hydrodynamic limit and fluctuations are discussed.
Keywords
Cite
@article{arxiv.1306.4582,
title = {A hydrodynamic limit and fluctuations for a Chinese restaurant-like process},
author = {Mathias Rafler},
journal= {arXiv preprint arXiv:1306.4582},
year = {2013}
}