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Non-Uniform hyperbolicity for infinite dimensional cocycles
Random operators dominated splitting multiplicative ergodic theorem Lyapunov exponents
2011/9/14
Abstract: Let H be an infinite dimensional separable Hilbert space, X a compact Hausdorff space and f : X \rightarrow X a homeomorphism which preserves a Borel ergodic measure which is positive on non...
A geometric criterion for the non-uniform hyperbolicity of the Kontsevich--Zorich cocycle
geometric criterion non-uniform hyperbolicity Kontsevich--Zorich cocycle
2010/12/10
We prove a geometric criterion on a SL(2,R)-invariant ergodic probability measure on the moduli space of holomorphic abelian differentials on Riemann surfaces for the non-uniform hyperbolicity of the ...