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The Density of Linear Symplectic Cocycles with Simple Lyapunov Spectrum in YIC(X, SL(2, R))
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作者 Xiong Ping DAI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第1期301-310,共10页
Let (X, G(X), m) be a probability space with a-algebra G(X) and probability measure m. The set V in G is called P-admissible, provided that for any positive integer n and positive-measure set Vn∈ contained in V... Let (X, G(X), m) be a probability space with a-algebra G(X) and probability measure m. The set V in G is called P-admissible, provided that for any positive integer n and positive-measure set Vn∈ contained in V, there exists a Zn∈G such that Zn belong to Vn and 0 〈 m(Zn) 〈 1/n. Let T be an ergodic automorphism of (X, G) preserving m, and A belong to the space of linear measurable symplectic cocycles 展开更多
关键词 lyapunov spectrum linear cocycle nonuniform hyperbolicity
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