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arXiv · 0707.1843

Determinantal transition kernels for some interacting particles on the line

A. B. Dieker·J. Warren
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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.

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A. B. Dieker, J. Warren. 2007-12-14. Determinantal transition kernels for some interacting particles on the line. https://doi.org/10.1214/07-aihp176

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