The spontaneous emission rate Gamma of a two-level atom inside a chaot
ic cavity fluctuates strongly from one point to another because of flu
ctuations in the local density of modes. For a cavity with perfectly c
onducting walls and an opening containing N wave channels, the distrib
ution of Gamma is given by P(Gamma) proportional to Gamma(N/2-1)(Gamma
+ Gamma(0))(-N-1), where Gamma(0) is the free-space rate. For small N
the most probable value of Gamma is much smaller than the mean value
Gamma(0).