  Using the supersymmetric method of random matrix theory within the Heidelberg
approach framework we provide statistical description of stationary intensity
sampled in locations inside an open wave-chaotic cavity, assuming that the
time-reversal invariance inside the cavity is fully broken. In particular, we
show that when incoming waves are fed via a finite number $M$ of open channels
the probability density ${\cal P}(I)$ for the single-point intensity $I$ decays
as a power law for large intensities: ${\cal P}(I)\sim I^{-(M+2)}$, provided
there is no internal losses. This behaviour is in marked difference with the
Rayleigh law ${\cal P}(I)\sim \exp(-I/\overline{I})$ which turns out to be
valid only in the limit $M\to \infty$. We also find the joint probability
density of intensities $I_1, \ldots, I_L$ in $L>1$ observation points, and then
extract the corresponding statistics for the maximal intensity in the
observation pattern. For $L\to \infty$ the resulting limiting extreme value
statistics (EVS) turns out to be different from the classical EVS
distributions.
