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Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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We find the formulas of the transition probabilities of the $N$-particle multi-species asymmetric simple exclusion processes (ASEP), and show that the transition probabilities are written as a determinant when the order of particles in the final state is the same as the order of particles in the initial state.
Keywords: multi-species ASEP, integrable probability.
Mots-clés : ASEP 
@article{SIGMA_2020_16_a138,
     author = {Eunghyun Lee},
     title = {Exact {Formulas} of the {Transition} {Probabilities} of the {Multi-Species} {Asymmetric} {Simple} {Exclusion} {Process}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2020},
     volume = {16},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a138/}
}
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Eunghyun Lee. Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a138/

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