  For a stochastic process reset at random times, we discuss to what extent the
probabilities of some orderings of observables associated with the intervals of
time between resetting events are universal, i.e., independent of the choice of
the observables, and in particular, to what extent universality depends on the
choice of the distribution of these intervals. For Poissonian resetting,
universality relies only on a combinatorial argument and on the statistical
properties of Poisson points. For a generic distribution of time intervals
between resets, universality no longer holds in general.

Statistical Mechanics