Lucas Backes

activity

20132026

most citedShadowing for infinite dimensional dynamics and exponential trichotomies

33 citations · 258 across the 38 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.DS2015★ 5 cited

Continuity of Lyapunov exponents is equivalent to continuity of Oseledets subspaces

Lucas Backes, Mauricio Poletti

We prove that, for semi-invertible continuous cocycles, continuity of Lyapunov exponents is equivalent to continuity, in measure, of Oseledets subspaces.

math.DS2015★ 1 cited

A Note on the Continuity of Oseledets Subspaces for Fiber-Bunched Cocycles

Lucas Backes

We prove that restricted to the subset of fiber-bunched elements of the space of $G L (2, R)$ -valued cocycles Oseledets subspaces vary continuously, in measure, with respect…

math.DS2015★ 28 cited

Continuity of Lyapunov Exponents for Cocycles with Invariant Holonomies

Lucas Backes, Aaron W. Brown, Clark Butler

We prove a conjecture of Viana which states that Lyapunov exponents vary continuously when restricted to $G L (2, R)$ -valued cocycles over a subshift of finite type which adm…