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arXiv · 2111.00683

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

Jamerson Bezerra·Adriana Sánchez·El Hadji Yaya Tall
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Abstract

We show that the top Lyapunov exponent $\lambda_+(p)$ , $p = (p_1, \cdots, p_N)$ with $p_i >0$ for each $i$, associated with a random product of quasi-periodic cocycles depends real analytically on the transition probabilities $p$ whenever $\lambda_+(p)$ 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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Jamerson Bezerra, Adriana Sánchez, El Hadji Yaya Tall. 2021-11-01. Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles. https://arxiv.org/abs/2111.00683

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