14 citations · 32 across the 19 of their papers we have counts for
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math.DS2016★ 14 cited
Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems
Lucas Backes, Mauricio Poletti, Paulo Varandas +1
We prove that generic fiber-bunched and Hölder continuous linear cocycles over a non-uniformly hyperbolic system endowed with a u-Gibbs measure have simple Lyapunov spectrum. This…
math.DS2016
Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps
Mauricio Poletti, Marcelo Viana
Criteria for the simplicity of the Lyapunov spectra of linear cocycles have been found by Furstenberg, Guivarc'h-Raugi, Gol'dsheid-Margulis and, more recently, Bonatti-Viana and Av…
math.DS2016
Stably positive Lyapunov exponents for symplectic linear cocycles over partially hyperbolic diffeomorphisms
Mauricio Poletti
We consider symplectic cocycles over two classes of partially hyperbolic diffeomorphisms: having compact center leaves and time one maps of Anosov flows. We prove that the Lyapunov…