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12 May 2010: For each i let there be exactly four more arcs going from ai to some 4 membersof {b1,. , ... Each bj has only one arc incoming from some ai, and one arc outgoing to some ci.

17 Aug 2010: a) If p > pc(d), then. Pp(Ka,b contains some infinite oriented occupied path) = 1,. ... b) If p > pHa , then. Pp(Ka,b contains some infinite admissible path) = 1,.

24 Mar 2010: In some examples, it will be necessary to estimate p, the number of mixture components. ... Examples of functionals of interest (some of which were givenin Section 1), include:.

26 Feb 2010: On the other hand, some preliminaryresults can be taken from Nickl [12] without special efforts. ... for some 0 ξ(f ) 1. This together with (33) and (35) gives.

10 Nov 2010: After some straightforward calculations, β̄2 is given by:. β̄2(ξ) =. ξ′ 6=ξ. ... NebN,. for some b > 0. 19. Theorem 3.4.2. M(λ) = E[P1(λ) P2(λ)], where P1(λ) and P2(λ) are two independentPoisson random variables, satisfies the following:

16 Oct 2010: us(x) is non-decreasing in x. Conjecture A has been proved. Conjecture B has been called (by some seriousresearchers) the most important open problem in the field of dynamic programming. ... for some given x and s, s > 1, wehave us(x) = a, us1(x) = b, us1

9 Feb 2010: See [19, Chap. 4]. For A,B Z2, we write A B if there exists an open path joining somea A to some b B. ... Each edge ed = 〈u,v〉 of the dual latticetraverses some edge e = 〈x,y〉 of the primal, and, for each configuration ω,we define the dual

25 Nov 2010: There aretwo or three questions for each lecture, some theoretical and some of a problem nature.Each question is marked to indicate the lecture with which it is associated. ... Illustrations of dynamic programming and some useful ‘tricks’. 2.1 Example