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arXiv · 1810.03061

Lyapunov exponents of probability distributions with non-compact support

Adriana Sánchez·Marcelo Viana
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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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Adriana Sánchez, Marcelo Viana. 2018-10-06. Lyapunov exponents of probability distributions with non-compact support. https://arxiv.org/abs/1810.03061

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