Abstract
We show that if p > pc(Z ), then the unique infinite percolation cluster supports a nonzero flow f with finite q energy for all q > 2. This extends the work of Grimmett, Kesten, and Zhang and Levin and Peres in dimensions d ≥ 3. As an application of our techniques we exhibit a graph that has transient percolation clusters, but does not admit exponential intersection tails. This answers a question asked by Benjamini, Pemantle, and Peres.
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