  We study local and nonlocal correlations of light transmitted through active
random media. The conventional approach results in divergence of ensemble
averaged correlation functions due to existence of lasing realizations. We
introduce conditional average for correlation functions by omitting the
divergent realizations. Our numerical simulation reveals that amplification
does not affect local spatial correlation. The nonlocal intensity correlations
are strongly magnified due to selective enhancement of the contributions from
long propagation paths. We also show that by increasing gain, the average mode
linewidth can be made smaller than the average mode spacing. This implies that
light transport through a diffusive random system with gain could exhibit some
similarities to that through a localized passive system, owing to dominant
influence of the resonant modes with narrow width.
