14 citations · 32 across the 19 of their papers we have counts for
4 papers · 1 filter
Notes on and -states for cocycles over partially hyperbolic maps
Mauricio Poletti
In these notes we prove that the or -states of cocycles over partially hyperbolic maps are closed in the space of invariant measures.
The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open
Lucas Backes, Mauricio Poletti, Adriana Sánchez
We prove that the set of fiber-bunched -valued Hölder cocycles with nonvanishing Lyapunov exponents over a volume preserving, accessible and center-bunched partia…
Geometric growth for Anosov maps on the torus
Mauricio Poletti
We prove that for Anosov maps of the -torus if the Lyapunov exponents of absolutely continuous measures in every direction are equal to the geometric growth of the invariant fol…
Positive Lyapunov exponents for cocycles over time one anosov maps
Mauricio Poletti
We prove that in an open and dense set, Symplectic linear cocycles over time one maps of Anosov flows, have positive Lyapunov exponents for SRB measures.