A hydrodynamic limit and fluctuations for a Chinese restaurant-like process

Mathias Rafler

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arXiv · 1306.4582

A hydrodynamic limit and fluctuations for a Chinese restaurant-like process

Mathias Rafler

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Abstract

We study a Markov process constructed from the Pólya 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.

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Mathias Rafler. 2013-06-19. A hydrodynamic limit and fluctuations for a Chinese restaurant-like process. https://arxiv.org/abs/1306.4582

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