کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5778347 1633768 2017 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the distribution of Rudin-Shapiro polynomials and lacunary walks on SU(2)
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
On the distribution of Rudin-Shapiro polynomials and lacunary walks on SU(2)
چکیده انگلیسی
We characterize the limiting distribution of Rudin-Shapiro polynomials, showing that, normalized, their values become uniformly distributed in the disc. This resolves conjectures of Saffari and Montgomery. Our proof proceeds by relating the polynomials' distribution to that of a product of weakly dependent random matrices, which we analyze using the representation theory of SU(2). Our approach leads us to a non-commutative analogue of the classical central limit theorem of Salem and Zygmund, which may be of independent interest.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 320, 7 November 2017, Pages 993-1008
نویسندگان
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