Aggregation with constant kernel under stochastic resetting

The model of binary aggregation with constant kernel is subjected to stochastic resetting: aggregates any size explode into monomers at independent times. These resetting times are Poisson distributed, and the rate process called rate. master equation yields a Bernoulli-type in generating function concentration size, which can be solved exactly. This prescription leads non-equilibrium steady state for densities aggregates, aggregate, rescaled by steady-state density given maximised if set quotient aggregate (minus one).