کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5778487 1633776 2017 51 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On random linear dynamical systems in a Banach space. I. Multiplicative Ergodic Theorem and Krein-Rutman type Theorems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
On random linear dynamical systems in a Banach space. I. Multiplicative Ergodic Theorem and Krein-Rutman type Theorems
چکیده انگلیسی
For linear random dynamical systems in a separable Banach space X, we derived a series of Krein-Rutman type Theorems with respect to co-invariant cone family with rank-k, which present a (quasi)-equivalence relation between the measurably co-invariant cone family and the measurably dominated splitting of X. Moreover, such (quasi)-equivalence relation turns out to be an equivalence relation whenever (i) k=1; or (ii) in the frame of the Multiplicative Ergodic Theorem with certain Lyapunov exponent being greater than the negative infinity. For the second case, we thoroughly investigated the relations between the Lyapunov exponents, the co-invariant cone family and the measurably dominated splitting for linear random dynamical systems in X.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 312, 25 May 2017, Pages 374-424
نویسندگان
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