  We present a survey on the results on a particular coagulation-fragmentation
model given by the Becker-D\"oring equations. For both the deterministic and
stochastic versions, we include well-posedness, long-time behavior, convergence
rate towards equilibrium, coarsening and relation to transport equations,
time-dependent properties, metastability and classical nucleation theory. All
along this survey, we highlight recent results and open questions.
