Universal Statistics of Waves in a Random Time-Varying Medium

We study the propagation of waves in a medium which wave velocity fluctuates randomly time. prove that at long times, statistical distribution energy is log-normal, with average growing exponentially. For weak disorder, another regime preexists shorter follows negative exponential distribution, an value linearly The theory perfect agreement numerical simulations, and applies to different kinds waves. existence such universal statistics bridges fields time-disordered space-disordered media.