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15 Aug 2012: Physics 22 89 .[9] G. R. Grimmett, Percolation Springer, New York .

15 Aug 2012: The first. result of this paper is a new comparison inequality, proved using an argument devel-. ... In Section 2 we present the new comparison inequality, and we apply it in Section3.

15 Aug 2012: Mathematics and its Applications, vol. 99, Springer, New York, pp. 1–24.Aizenman, M.

15 Aug 2012: This is certainly achieved if the earliest jHjk such sr eachstrikes a new integer of H, i.e., an integer struck by no smaller sr (here and laterwe sometimes use real

15 Aug 2012: R. (1989), Percolation, Springer, New York.7. Grimmett, G. R. (1994), Potts models and random-cluster processes with many-bodyinteractions, Journal of Statistical Physics 75, 67–121.

15 Aug 2012: Stochastic Processes and their Applications 26 (1987), 1–30. 9. Janson, S., New versions of Suen’s correlation inequality, Random Structures and Algorithms.

15 Aug 2012: Their solutions require a mixture of new ideas, from analysis, geometry, anddiscrete mathematics.

23 Jul 2012: Thelast model is especially challenging because it is non-ferromagnetic, and thus givesrise to new problems of importance and difficulty. ... There are many new complications and some of the basic questions remainunanswered, at least in part.

15 Aug 2012: solve.• Their solutions require a mixture of new ideas, from analysis, geometry,.

15 Aug 2012: For example, the critical probability of a percolationprocess cannot increase if new edges are added to the lattice. ... Such monotonicity, when true, is usually easy to prove. Strict monotonicity, onthe other hand, presents new difficulties.