For nearest-neighbour spin systems on subcritical dynamical percolation, sufficiently slow edge dynamics force mixing time Θ(λ^{-1} log N), with cutoff as λ→0.
Cutoff for the Ising model on the lattice.Inventiones mathematicae, 191(3):719–755, May 2012
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Mixing times of spin systems on dynamical percolation
For nearest-neighbour spin systems on subcritical dynamical percolation, sufficiently slow edge dynamics force mixing time Θ(λ^{-1} log N), with cutoff as λ→0.