# Combinatorics of the PASEP partition function

Abstract : We consider a three-parameter PASEP model on $N$ sites. A closed formula for the partition function was obtained analytically by Blythe et al. We give a new formula which generalizes the one of Blythe et al, and is proved in two combinatorial ways. Moreover the first proof can be adapted to give the moments of Al-Salam-Chihara polynomials.
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Cited literature [18 references]

https://hal.inria.fr/hal-01186283
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• HAL Id : hal-01186283, version 1

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Matthieu Josuat-Vergès. Combinatorics of the PASEP partition function. 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), 2010, San Francisco, United States. pp.331-342. ⟨hal-01186283⟩

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