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We consider random walk on dynamical percolation on the discrete torus$\mathbb{Z}_n^d$. In previous work, mixing times of this process for$p<p_c(\mathbb{Z}^d)$ were obtained in the annealed setting where one averagesover the dynamical percolation environment. Here we study exit times in thequenched setting, where we condition on a typical dynamical percolationenvironment. We obtain an upper bound for all $p$ which for $p<p_c$ matches theknown lower bound.

Quenched exit times for random walk on dynamical percolation