  High energy scattering was recently shown to be similar to a
reaction-diffusion process. The latter defines a wide universality class that
also contains e.g. some specific population evolution models. The common point
of all these models is that their respective dynamics are described by noisy
traveling wave equations. This observation has led to a new understanding of
QCD in the regime of high energies, and known universal results on
reaction-diffusion models could be transposed to obtain quantitative properties
of QCD amplitudes. Conversely, new general results for that kind of statistical
models have also been derived. Furthermore, an intriguing relationship between
noisy traveling wave equations and the theory of spin glasses was found.
