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

 

Sparad:
Bibliografiska uppgifter
Författarna: Bezerra, Jamerson, Sánchez Chavarría, Adriana Cristina, Tall, El Hadji Yaya
Materialtyp: artículo preliminar
Utgivningstid:2021
Beskrivning: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.
Land:Kérwá
Organisation:Universidad de Costa Rica
Repositorio:Kérwá
Språk:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/85293
Länkar:https://arxiv.org/abs/2111.00683
https://hdl.handle.net/10669/85293
Nyckelord:Skew product
Quasi-periodic cocycles
Random Product
Lyapunov exponents