• Lyapunov minimizing measures for expanding maps of the circle 

      Contreras, Gonzalo; Lopes, Artur Oscar; Thieullen, Ph. (2001) [Artigo de periódico]
      We consider the set of maps f є Fα+=Uβ >αC1β of the circle which are covering maps of degree D, expanding, minxєS1 f ¹(x) > 1 and orientation preserving. We are interested in characterizing the set of suchmaps f which admit ...
    • Sub-actions for Anosov flows 

      Lopes, Artur Oscar; Thieullen, Ph. (2005) [Artigo de periódico]
      Let (M, {Øt }) be a smooth (not necessarily transitive) Anosov flow without fixed points generated by a vector field X(x) = (d/dt)|t=0Øt (x) on a compact manifold M. Let A : M → R be a globally Holder function defined on ...