کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4607173 1631430 2014 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Large deviation for outlying coordinates in ββ ensembles
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Large deviation for outlying coordinates in ββ ensembles
چکیده انگلیسی

For YY a subset of the complex plane, a ββ ensemble is a sequence of probability measures Probn,β,QProbn,β,Q on YnYn for n=1,2,…n=1,2,… depending on a positive real parameter ββ and a real-valued continuous function QQ on YY. We consider the associated sequence of probability measures on YY where the probability of a subset WW of YY is given by the probability that at least one coordinate of YnYn belongs to WW. With appropriate restrictions on Y,QY,Q we prove a large deviation principle for this sequence of probability measures. This extends a result of Borot–Guionnet to subsets of the complex plane and to ββ ensembles defined with measures using a Bernstein–Markov condition.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 180, March 2014, Pages 1–20
نویسندگان
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