کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10149845 1646775 2018 80 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fluctuations of particle systems determined by Schur generating functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Fluctuations of particle systems determined by Schur generating functions
چکیده انگلیسی
We develop a new toolbox for the analysis of the global behavior of stochastic discrete particle systems. We introduce and study the notion of the Schur generating function of a random discrete configuration. Our main result provides a Central Limit Theorem (CLT) for such a configuration given certain conditions on the Schur generating function. As applications of this approach, we prove CLT's for several probabilistic models coming from asymptotic representation theory and statistical physics, including random lozenge and domino tilings, non-intersecting random walks, decompositions of tensor products of representations of unitary groups.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 338, 7 November 2018, Pages 702-781
نویسندگان
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