  We study a model for the motion of a tracer particle inside an active gel,
exposing the properties of the van Hove distribution of the particle
displacements. Active events of a typical force magnitude give rise to
non-Gaussian distributions, having exponential tails or side-peaks. The
side-peaks appear when the local bulk elasticity of the gel is large enough and
few active sources are dominant. We explain the regimes of the different
distributions, and study the structure of the peaks for active sources that are
susceptible to the elastic stress that they cause inside the gel. We show how
the van Hove distribution is altered by both the duty cycle of the active
sources and their susceptibility, and suggest it as a sensitive probe to
analyze microrheology data in active systems with restoring elastic forces.
