Geodesic
The Fully Parametrized Asymmetric Exclusion Process With Annihilation
Séminaire lotharingien de combinatoire, Tome 81 (2020)

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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. 

@article{SLC_2020_81_a0,
     author = {Volker Strehl},
     title = {The {Fully} {Parametrized} {Asymmetric} {Exclusion} {Process} {With} {Annihilation}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {81},
     year = {2020},
     url = {http://geodesic.mathdoc.fr/item/SLC_2020_81_a0/}
}
TY  - JOUR
AU  - Volker Strehl
TI  - The Fully Parametrized Asymmetric Exclusion Process With Annihilation
JO  - Séminaire lotharingien de combinatoire
PY  - 2020
VL  - 81
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2020_81_a0/
ID  - SLC_2020_81_a0
ER  - 
%0 Journal Article
%A Volker Strehl
%T The Fully Parametrized Asymmetric Exclusion Process With Annihilation
%J Séminaire lotharingien de combinatoire
%D 2020
%V 81
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2020_81_a0/
%F SLC_2020_81_a0
Volker Strehl. The Fully Parametrized Asymmetric Exclusion Process With Annihilation. Séminaire lotharingien de combinatoire, Tome 81 (2020). http://geodesic.mathdoc.fr/item/SLC_2020_81_a0/