Proves that the critical value for long-range percolation on Z^d is continuous in model specifications and establishes a shape theorem for the reachable set in n steps within the supercritical infinite cluster.
Subadditive ergodic theory
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Continuity of the critical value and a shape theorem for long-range percolation
Proves that the critical value for long-range percolation on Z^d is continuous in model specifications and establishes a shape theorem for the reachable set in n steps within the supercritical infinite cluster.