Determinantal transition kernels for some interacting particles on the line
Probability
2008-12-06 v2 Mathematical Physics
math.MP
Abstract
We find the transition kernels for four Markovian interacting particle systems on the line, by proving that each of these kernels is intertwined with a Karlin-McGregor type kernel. The resulting kernels all inherit the determinantal structure from the Karlin-McGregor formula, and have a similar form to Schutz's kernel for the totally asymmetric simple exclusion process.
Cite
@article{arxiv.0707.1843,
title = {Determinantal transition kernels for some interacting particles on the line},
author = {A. B. Dieker and J. Warren},
journal= {arXiv preprint arXiv:0707.1843},
year = {2008}
}