Connectedness of the set of central Lyapunov exponents
classification
🧮 math.DS
keywords
centralexponentslyapunovmathcalassociatedcenterclassconnectedness
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We show that there is a residual subset $\mathcal{R}$ of $Diff^1(M)$ such that for any $f\in\mathcal{R}$ and any partially hyperbolic homoclinic class $H(p,f)$ with one dimensional center direction, the set of central Lyapunov exponents associated with the ergodic with either full support or positive entropy is an interval.
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