کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4666988 1345432 2010 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A rapidly-converging lower bound for the joint spectral radius via multiplicative ergodic theory
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
A rapidly-converging lower bound for the joint spectral radius via multiplicative ergodic theory
چکیده انگلیسی

We use ergodic theory to prove a quantitative version of a theorem of M.A. Berger and Y. Wang, which relates the joint spectral radius of a set of matrices to the spectral radii of finite products of those matrices. The proof rests on a structure theorem for continuous matrix cocycles over minimal homeomorphisms having the property that all forward products are uniformly bounded.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 225, Issue 6, 20 December 2010, Pages 3425-3445