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Lyapunov exponents of probability distributions with non-compact support (1810.03061v2)
Published 6 Oct 2018 in math.DS
Abstract: We prove that the Lyapunov exponents, cosidered as functions of measures with non compact support, are semicontinuous with respect to the Wasserstein topology but not with respect to the weak* topology. Moreover, we prove that they are not continuous in the Wasserstein topology.
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