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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Keywords
Skew product, Quasi-periodic cocycles, Random Product, Lyapunov exponents
Citation
https://arxiv.org/abs/2111.00683