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Lyapunov exponents of probability distributions with non-compact support

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arxiv 1810.03061 v2 pith:AEXBWIRP submitted 2018-10-06 math.DS

Adriana Sánchez , Marcelo Viana This is my paper · ORCID
classification math.DS
keywords topologyexponentslyapunovproverespectsupportwassersteincompact
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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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  1. Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles

    math.DS 2026-08 conditional novelty 6.0 of 10

    The top Lyapunov exponent of a primitive Markov quasi-periodic cocycle with simple top spectrum has a holomorphic extension in a complex neighborhood of the transition matrix.

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