کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4589587 1334888 2016 48 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Local stability of the free additive convolution
ترجمه فارسی عنوان
ثبات محلی کانولاسیون افزودنی آزاد
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

We prove that the system of subordination equations, defining the free additive convolution of two probability measures, is stable away from the edges of the support and blow-up singularities by showing that the recent smoothness condition of Kargin is always satisfied. As an application, we consider the local spectral statistics of the random matrix ensemble A+UBU⁎A+UBU⁎, where U is a Haar distributed random unitary or orthogonal matrix, and A and B   are deterministic matrices. In the bulk regime, we prove that the empirical spectral distribution of A+UBU⁎A+UBU⁎ concentrates around the free additive convolution of the spectral distributions of A and B   on scales down to N−2/3N−2/3.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 271, Issue 3, 1 August 2016, Pages 672–719
نویسندگان
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