In the long time behaviour of dynamical systems the so called SRB measure
has a deep meaning. Computation of this
eigenmeasure of the Ruelle operator is a highly nontrivial, but important, task. In
collaboration with Sergey Pilyugin (St.Petersburg), we are starting a study of connections
between this measure and hyperbolic structures of invariant sets. This may lead
to numerically efficient approaches for these computations.