On a gateway between the Laguerre process and dynamics on partitions.

@article{Assiotis2019OnAG,
title={On a gateway between the Laguerre process and dynamics on partitions.},
author={T. Assiotis},
journal={arXiv: Probability},
year={2019}
}

Probability measures and stochastic dynamics on matrices and on partitions are related by standard, albeit technical, discrete to continuous scaling limits. In this paper we provide exact relations, that go in both directions, between the eigenvalues of the Laguerre process and certain distinguished dynamics on partitions. This is done by generalizing to the multidimensional setting recent results of Miclo and Patie on linear one-dimensional diffusions and birth and death chains. As a corollary… CONTINUE READING