| One of the few solvable models of turbulence is the study of shock statistics in Burgers equation (Burgers turbulence). Typical initial data develops shocks, and these shocks cluster into larger shocks as time proceeds. This clustering process is closely connected with mean-field models of coalescence that have attracted increasing attention among probabilists in the past fifteen years. I will describe these links (which is mainly work of Jean Bertoin) and some asymptotic results (my work with Bob Pego). |