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Journal Articles Journal of Physics A: Mathematical and Theoretical Year : 2007

Connected operators for the totally asymmetric exclusion process

Abstract

We fully elucidate the structure of the hierarchy of the connected operators that commute with the Markov matrix of the Totally Asymmetric Exclusion Process (TASEP). We prove for the connected operators a combinatorial formula that was conjectured in a previous work. Our derivation is purely algebraic and relies on the algebra generated by the local jump operators involved in the TASEP.
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Dates and versions

cea-02062090 , version 1 (08-03-2019)

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O. Golinelli, K. Mallick. Connected operators for the totally asymmetric exclusion process. Journal of Physics A: Mathematical and Theoretical, 2007, 40 (44), pp.13231-13236. ⟨10.1088/1751-8113/40/44/004⟩. ⟨cea-02062090⟩
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