Sudden topological rearrangement of neighboring bubbles in a foam occu
r during coarsening, and can also be induced by applied forces. Diffus
ing-wave spectroscopy measurements are presented of such dynamics befo
re, during, and after an imposed shear strain. The rate of rearrangeme
nts is proportional to the strain rate, and the shape of the correlati
on functions shows that they are spatially and temporally uncorrelated
. Macroscopic deformation is thus accomplished by a nonlinear microsco
pic process reminiscent of dynamics in the propagation of earthquake f
aults or the flow of granular media.