102 citations · 169 across the 22 of their papers we have counts for
24 papers
Continuity of the Lyapunov exponents of random matrix products
Artur Avila, Alex Eskin, Marcelo Viana
We prove that the Lyapunov exponents of random products in a (real or complex) matrix group depends continuously on the matrix coefficients and probability weights. More generally,…
Maximal transverse measures of expanding foliations
Raul Ures, Marcelo Viana, Fan Yang +1
For an expanding (unstable) foliation of a diffeomorphism, we use a natural dynamical averaging to construct transverse measures, which we call \emph{maximal}, describing the stati…
Hyperbolicity and Rigidity for Fibred Partially Hyperbolic Systems
Sankhadip Chakraborty, Marcelo Viana
Every volume-preserving centre-bunched fibred partially hyperbolic system with 2-dimensional centre either (1) has two distinct centre Lyapunov exponents, or (2) exhibits an invari…
Partially volume expanding diffeomorphisms
Shaobo Gan, Ming Li, Marcelo Viana +1
We call a partially hyperbolic diffeomorphism \emph{partially volume expanding} if the Jacobian restricted to any hyperplane that contains the unstable bundle is larger than…
Maximal entropy measures of diffeomorphisms of circle fiber bundles
Raúl Ures, Marcelo Viana, Jiagang Yang
We characterize the maximal entropy measures of partially hyperbolic C^2 diffeomorphisms whose center foliations form circle bundles, by means of suitable finite sets of saddle poi…
Lyapunov exponents of probability distributions with non-compact support
Adriana Sánchez, Marcelo Viana
We prove that the Lyapunov exponents, cosidered as functions of measures with non compact support, are semicontinuous with respect to the Wasserstein topology but not with respect…