  In this paper, we study modulus of continuity and rate of convergence of
series of conditionally sub-Gaussian random fields. This framework includes
both classical series representations of Gaussian fields and LePage series
representations of stable fields. We enlighten their anisotropic properties by
using an adapted quasi-metric instead of the classical Euclidean norm. We
specify our assumptions in the case of shot noise series where arrival times of
a Poisson process are involved. This allows us to state unified results for
harmonizable (multi)operator scaling stable random fields through their LePage
series representation, as well as to study sample path properties of their
multistable analogous.
