Weak Specification Properties and Large Deviations for Non-additive   Potentials
  We obtain large deviation bounds for the measure of deviation sets associated to asymptotically additive and sub-additive potentials under some weak specification properties. In particular a large deviation principle is obtained in the case of uniformly hyperbolic dynamical systems. Some examples in connection with the convergence of Lyapunov exponents are given. 
Paulo Varandas and Yun Zhao
math.DS