Determinantal transition kernels for some interacting particles on the line
arXiv:0707.1843 · doi:10.1214/07-AIHP176
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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