We study limit laws for simple random walks on supercritical long-range percolation clusters on ℤ d , d ≥ 1. For the long range percolation model, the probability that two vertices x, y are connected ...
Certain aspects of two-dimensional turbulence are remarkably similar to those found in critical percolation, and show conformal invariance. But there is both less, and more, to this observation than ...
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