Speed of convergence for laws of rare events and escape rates
  We obtain error terms on the rate of convergence to Extreme Value Laws for a general class of weakly dependent stochastic processes. The dependence of the error terms on the `time' and `length' scales is very explicit. Specialising to data derived from a class of dynamical systems we find even more detailed error terms, one application of which is to consider escape rates through small holes in these systems. 
Ana Cristina Moreira Freitas and Jorge Milhazes Freitas and Mike Todd
math.DS math.PR