Now showing items 1-3 of 3

    • Continuity of Lyapunov exponents for cocycles with invariant holonomies 

      Backes, Lucas Henrique; Brown, Aaron; Butler, Clark (2018) [Journal article]
      We prove a conjecture of Viana which states that Lyapunov exponents vary continuously when restricted to GL(2,R)-valued cocycles over a subshift of finite type which admit invariant holonomies that depend continuously on ...
    • Periodic approximation of exceptional lyapunov exponents for semi-invertible operator cocycles 

      Backes, Lucas Henrique; Dragičević, Davor (2019) [Journal article]
      We prove that for semi-invertible and Hölder continuous linear cocycles A acting on an arbitrary Banach space and defined over a base space that satisfies the Anosov closing property, all exceptional Lyapunov exponents of ...
    • Removing zero Lyapunov exponents 

      Baraviera, Alexandre Tavares; Bonatti, C. (2003) [Journal article]
      In an explicit family of partially hyperbolic diffeomorphisms of the torus T 3, Shub andWilkinson recently succeeded in perturbing the Lyapunov exponents of the center direction. We present here a local version of their ...