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• W2023002350 abstract "Stationary states of stochastic models, which have $N$ states per site, in matrix product form are considered. First we give a necessary condition for the existence of a finite $M$-dimensional matrix product state for any ${N,M}$. Second, we give a method to construct the matrices from the stationary states of small size system when the above condition and $Nle M$ are satisfied. Third, the method by which one can check that the obtained matrices are valid for any system size is presented for the case where $M=N$ is satisfied. The application of our methods is explained using three examples: the asymmetric exclusion process, a model studied in [F. H. Jafarpour: J. Phys. A: Math. Gen. 36 (2003) 7497] and a hybrid of both of the models." @default.
• W2023002350 created "2016-06-24" @default.
• W2023002350 creator A5027160694 @default.
• W2023002350 creator A5086166318 @default.
• W2023002350 date "2004-10-07" @default.
• W2023002350 modified "2023-09-28" @default.
• W2023002350 title "Construction of a matrix product stationary state from solutions of a finite-size system" @default.
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• W2023002350 doi "https://doi.org/10.1088/0305-4470/37/42/003" @default.
• W2023002350 hasPublicationYear "2004" @default.
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