Multiplicative coalescent from a new angle

It will be a talk on the black board. The speaker will use symbols and figures to explain how a two-parameter process encodes its corresponding continuous-time random graph (CTRG) component sizes evolution. CTRG component sizes have the multiplicative coalescent dynamics. Near criticality scaling limits will emerge. To each extreme scaling limit of the near critical random graph corresponds a diffusion + jump process. The talk should end by listing these latter process. It would be interesting to know if someone in the audience has seen them (or something similar) in another context.