  We introduce a new dynamical indicator of stability based on the Extreme
Value statistics showing that it provides an insight on the local stability
properties of dynamical systems. The indicator perform faster than other based
on the iteration of the tangent map since it requires only the evolution of the
original systems and, in the chaotic regions, gives further information about
the information dimension of the attractor. A numerical validation of the
method is presented through the analysis of the motions in a Standard map.
