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作者：YU, Z
摘要：Consider a special independent bond percolation model on Z2, in which all bonds with vertices in the X axis are open with probability delta and closed with probability 1 - delta, and all other bonds are open with probability p and closed with probability 1 - p. In this paper we show that no percolation occurs at p(c) for any delta < 1. The method allows us also to show no percolation at p(c) in a more general inhomogeneous case.
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作者：MARCUS, MB; ROSEN, J
作者单位：City University of New York (CUNY) System; College of Staten Island (CUNY); Texas A&M University System; Texas A&M University College Station
摘要：Both standard and functional laws of the iterated logarithm are obtained for the local time of a symmetric Levy process, at a fixed point in its state space, as time goes to infinity. Similar results are also obtained for the difference of the local times at two points in the state space. These results are sharp if the exponent of the characteristic function that defines the Levy process is regularly varying at zero with index 1 < beta less-than-or-equal-to 2. The results are given in terms of...
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作者：KRISTIANSEN, GK
摘要：A proof is given of a conjecture, due to F. W. Steutel: the set of positive alpha-values, for which any positive mixture of GAMMA(alpha)-distributions is infinitely divisible, is the interval (0, 2].
