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Analiticity of the Lyapunov exponents of random products of quasi-periodic cocycles

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Authors

Bezerra, Jamerson
Sánchez Chavarría, Adriana Cristina
Tall, El Hadji Yaya

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Abstract

We show that the top Lyapunov exponent LE(p) associated with a random product of quasi-periodic cocycles depends real analytically on the transition probabilities p whenever LE(p) is simple. Moreover if the spectrum at p is simple (all Lyapunov exponents having multiplicity one ) then all Lyapunov exponents depend real analytically on p.

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Skew product, Quasi-periodic cocycles, Random Product, Lyapunov exponents

Citation

https://arxiv.org/abs/2111.00683

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