  We investigate the statistics of eigenfunction intensities ${\cal
P}(|\psi|^2)$ in dynamical systems with classical chaotic diffusion. Our
results contradict some recent theoretical considerations which challenge the
applicability of field theoretical predictions, derived in a different
framework for diffusive disordered samples. For two-dimensional systems, the
tails of ${\cal P}(|\psi|^2)$ contradict the results of the optimal fluctuation
method, but agree very well with the predictions of the non-linear
$\sigma-$model.
