Furstenberg's theorem for nonlinear stoc
β
Andrew Carverhill
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Article
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1987
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Springer
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English
β 301 KB
We extend Furstenberg's theorem to the case of an i.i.d, random composition of incompressible diffeomorphisms of a compact manifold M. The original theorem applies to linear maps {X~}i~ N on IR m with determinant 1, and says that the highest Lyapunov exponent /3=--lim I ilx, ~ .... XIH n~oo ~/ is st