کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8903703 1632913 2018 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Tableaux combinatorics of the two-species PASEP
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Tableaux combinatorics of the two-species PASEP
چکیده انگلیسی
We study a two-species PASEP, in which there are two types of particles, “heavy” and “light”, hopping right and left on a one-dimensional lattice of n cells with open boundaries. In this process, only the “heavy” particles can enter on the left of the lattice and exit from the right of the lattice. In the bulk, any transition where a heavier particle type swaps places with an adjacent lighter particle type is possible. We generalize combinatorial results of Corteel and Williams for the ordinary PASEP by defining a combinatorial object which we call a rhombic alternative tableau that gives a combinatorial formula for the stationary probabilities for the states of this two-species PASEP.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 159, October 2018, Pages 215-239
نویسندگان
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