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A celebrated result of Bousquet-Mélou and Jehanne states that the bivariate power series solutions of so-called discrete differential equations, also known as polynomial equations with one catalytic variable, or simply c...
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In this paper we continue the combinatorial study of the TASEP. We consider here the parallel TASEP, in which particles jump simultaneously. We offer here an elementary derivation that extends the combinatorial approach ...
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In this paper we consider a model of particles jumping on a row of cells, called in physics the one dimensional totally asymmetric exclusion process (TASEP). More precisely we deal with the TASEP with two or three types ...