Quenched exit times for random walk on dynamical percolation
Artikel i vetenskaplig tidskrift, 2018
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 lower bound.
Dynamical percolation
mixing times
random walk
hitting times