Following Ref. \cite{Henley:1997aa}, we know that the Hamiltonian of a quantum dimer model (QDM) at the RK point can interpreted as a generator of a Markov process that proceeds by flipping dimers. Away from the RK point, where the dimer hopping and on-site terms are not balanced, the Hamiltonian can be interpreted as a generator of the \(s\)-ensemble, where configurations are weighted by their activity (rate of dimer flipping). The behaviour of the largest eigenvalue, corresponding to the ground state energy of the QDM, contains information about the large deviation function of the activity. The differences in the ground state phase diagram of the square and triangular lattice QDMs \cite{Moessner:2001aa} should therefore have an analog in the stochastic dynamics.