  Equilibrium is a central concept of statistical mechanics. In previous work
we introduced the notions of a Boltzmannian alpha-epsilon-equilibrium and a
Boltzmannian gamma-varepsilon-equilibrium (Werndl and Frigg 2015a, 2015b). This
was done in a deterministic context. We now consider systems with a stochastic
micro-dynamics and transfer these notions from the deterministic to the
stochastic context. We then prove stochastic equivalents of the Dominance
Theorem and the Prevalence Theorem. This establishes that also in stochastic
systems equilibrium macro-regions are large in requisite sense.
