  The effects of a stochastic reset, to its initial configuration, is studied
in the exactly solvable one-dimensional coagulation-diffusion process. A finite
resetting rate leads to a modified non-equilibrium stationary state. If in
addition the input of particles at a fixed given rate is admitted, a
competition between the resetting and the input rates leads to a non-trivial
behaviour of the particle-density in the stationary state. From the exact
inter-particle probability distribution, a simple physical picture emerges: the
reset mainly changes the behaviour at larger distance scales, while at smaller
length scales, the non-trivial correlation of the model without a reset
dominates.
