Continuity of Lyapunov exponents in the C0 topology
  We prove that the Bochi-Ma\~{n}\'{e} theorem is false, in general, for linear cocycles over non-invertible maps: there are C0-open subsets of linear cocycles that are not uniformly hyperbolic and yet have Lyapunov exponents bounded from zero. 
Marcelo Viana and Jiagang Yang
math.DS