Before revision: A process is polynomial if its extended generator maps any polynomial to a polynomial of equal or lower degree. Then its conditional moments can be calculated in closed form, up to the computation of the exponential of the so-called generator matrix. In this article , we provide an explicit formula to the problem of computing correlators, that is, computing the expected value of moments of the process at different time points along its path.
After revision: In the setting of polynomial jump-diffusion dynamics , we provide an explicit formula to the problem of computing correlators, that is, computing the expected value of moments of the process at different time points along its path.