Quenched exit times for random walk on dynamical percolation

We consider random walk on dynamical percolation on the discrete torus Z(n)(d). In previous work, mixing times of this process for p < p(c)(Z(d)) were obtained in the annealed setting where one averages over the dynamical percolation environment. Here we study exit times in the quenched setting, where we condition on a typical dynamical percolation environment. We obtain an upper bound for all p which for p < p(c) matches the known upper bound.