Determinantal transition kernels for some interacting particles on the line

Details Determinantal transition kernels for some interacting particles on the line Determinantal transition kernels for some interacting particles on the line

2007-07-12

arxiv.org/abs/0707.1843v2

Ann. Inst. H. Poincar\'e (B), 44, p. 1162-1172, 2008

Mathematics

Probability

Scientific paper

10.1214/07-AIHP176

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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