102 citations · 169 across the 22 of their papers we have counts for
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math.DS2016
Continuity of Lyapunov exponents in the C0 topology
Marcelo Viana, Jiagang Yang
We prove that the Bochi-Mañé theorem is false, in general, for linear cocycles over non-invertible maps: there are C0-open subsets of linear cocycles that are not uniformly hyperbo…
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
Measure-theoretical properties of center foliations
Marcelo Viana, Jiagang Yang
Center foliations of partially hyperbolic diffeomorphisms may exhibit pathological behavior from a measure-theoretical viewpoint: quite often, the disintegration of the ambient vol…