We discuss a class of stochastic processes, with motivation from ?quantum chaos and high energy scattering in quantum field theory. In ?large N limit, certain universal description emerges, and details of ?the system become unimportant. Including 1/N fluctuations has dramatic ?imprints on the dynamical behaviors. In 0+1d, we argue a wide class of ?systems possess universal behaviors. However, in higher dimension, we ?don’t have a comprehensive understanding, instead, we will remark on ?several aspects we understood. This talk will be based on ?work/thoughts in progress.