Some examples of cocycles with simple continuous singular spectrum
نویسندگان
چکیده
منابع مشابه
Some Examples of Nonuniformly Hyperbolic Cocycles
We consider some very simple examples of SL(2, R)-cocycles and prove that they have positive Lyapunov exponents. These cocycles form an open set in the C topology. Let f : (X,m) be a measure preserving transformation of a probability space, and let A : X → SL(2,R). With a slight abuse of language we call A an SL(2,R)-cocycle over the dynamical system (f,m). Let λ1 ≥ λ2 denote the Lyapunov expon...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2001
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm146-1-1