NON-UNIFORM HYPERBOLICITY FOR INFINITE DIMENSIONAL COCYCLES

被引：3
|
作者：
Bessa, Mario [1 ]
Carvalho, Maria [2 ]
机构：
[1] Univ Beira Interior, Dept Matemat, P-6201001 Convento De Sto Antonio, Covilha, Portugal
[2] Univ Porto, Dept Matemat, P-4169007 Oporto, Portugal
来源：
STOCHASTICS AND DYNAMICS | 2013年 / 13卷 / 03期
关键词：
Random operators; dominated splitting; multiplicative ergodic theorem; Lyapunov exponents; EXPONENTS;
D O I：
10.1142/S0219493712500268
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Let H be an infinite dimensional Hilbert space, X a compact Hausdorff space and f : X -> X a homeomorphism which preserves a Borel ergodic probability measure which is positive on non-empty open sets. We prove that non-uniformly Anosov cocycles are C-0-dense in the family of partially hyperbolic cocycles with non-trivial unstable bundles.
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页数：17
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