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Lyapunov exponents of probability distributions with non-compact support. (arXiv:1810.03061v1 [math.DS])

来源于:arXiv
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. 查看全文>>