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 ...

Mathematical Proceedings of the Royal Irish Academy, Vol. 99A, No. 2 (Dec., 1999), pp. 171-177 (7 pages) In this paper we derive the exact covariance of some sample moments for 'simple random sampling ...