Séminaire Lotharingien de Combinatoire, B81a (2020), 35 pp.
The Fully Parametrized Asymmetric Exclusion Process With Annihilation
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
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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