Séminaire Lotharingien de Combinatoire, B81a (2020), 35 pp.

Volker Strehl

The Fully Parametrized Asymmetric Exclusion Process With Annihilation

Abstract. An algebraic framework is presented for the investigation of a fully parametrized version of the model of an asymmetric exclusion process with annihilation, as introduced by A. Ayyer and K. Mallick. It features a skewed tensor product and its behavior under the transformation with Hadamard matrices. The eigenvalues of the generator matrices are obtained from a more general determinant evaluation in this algebraic context. The partition functions in the fully parametrized model are obtained with the help of transfer matrices, along the lines drawn by Ayyer and Mallick, taking advantage of the algebraic setting.

Received: March 29, 2019. Accepted: September 11, 2019.

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