Geometric characterization of Lyapunov exponents for Riemann surface laminations
classification
🧮 math.DS
math.CVmath.GT
keywords
cocycleexponentslyapunovriemannsurfacealongarbitrarycharacterization
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We characterize geometrically the Lyapunov exponents of a cocycle (of arbitrary rank) with respect to a harmonic current defined on a hyperbolic Riemann surface lamination. Our characterizations are formulated in terms of the expansion rates of the cocycle along geodesic rays.
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