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Determinantal transition kernels for some interacting particles on the line

A. B. Dieker, J. Warren (2008)

Annales de l'I.H.P. Probabilités et statistiques

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 Schütz’s kernel for the totally asymmetric simple exclusion process.

Discrete excursions.

Bousquet-Mélou, Mireille (2006)

Séminaire Lotharingien de Combinatoire [electronic only]

Divided differences and symmetric functions

Wenchang Chu (1999)

Bollettino dell'Unione Matematica Italiana

L'operatore di differenze multivariate è utilizzato per stabilire varie formule di somme riguardanti le funzioni simmetriche, le quali hanno uno stretto legame con le identità del «termine costante».

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