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21 Mar 2012: The new drug is untested and has an unknown probability of success θ,which the doctor believes to be uniformly distributed over [0, 1]. ... For example, suppose p = 0.6 and 6 trials with the new drug have givens = f = 3.

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: 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.

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

15 Aug 2012: phase diagram of a modied epidemic model in which new susceptiblesare born at some positive rate. ... M. (1985). Interacting Particle Systems. Springer-Verlag, New York.Menshikov, M. V. (1986).

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

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: We continue similarly, at each stage picking anew trifurcation tk Λ and a new vertex yk Λ.