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

 

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Auteurs: Bezerra, Jamerson, Sánchez Chavarría, Adriana Cristina, Tall, El Hadji Yaya
Format: artículo preliminar
Date de publication:2021
Description: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.
Pays:Kérwá
Institution:Universidad de Costa Rica
Repositorio:Kérwá
Langue:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/85293
Accès en ligne:https://arxiv.org/abs/2111.00683
https://hdl.handle.net/10669/85293
Mots-clés:Skew product
Quasi-periodic cocycles
Random Product
Lyapunov exponents