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10 Jan 2012: Following Li [24] the bandCn is called asymptotically honest with level α for a family of probability densitiesP if it satisfies the asymptotic coverage inequality.

19 Jan 2012: y(32,3) = arg maxy[0,5.24]. [. c(y)F(31.4 y,2)]. = 14.0079. y(33,3) = arg maxy[0,5.25]. [. ... 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}.

27 Jan 2012: gular and hexagonal lattices, [24],(c) the critical point of the random-cluster model on the square lattice with. ... 6See also [51]. Three theorems in discrete random geometry 315. Theorem 3.4 ([24]).

20 Feb 2012: Incentives for Large Peer-to-Peer Systems, C. Courcoubetis and R. R. Weber, IEEE Journal on Selected Areas in Communications (2006) 24, 1034-1049.> [J.

6 Mar 2012: r. Lr. 2j n.(24). If r = , for p0 and bounded, there exists a constant L such that for all jsatisfying 2j j < n we have. ... PROOF. Since Bα = W2α in [24] and it also equals a constant times Rα in [32],this proposition simply combines Theorem 2.1 in

14 Mar 2012: P (Tisol > t) = exp. (c̃d. t. Ψd(t)(1 o(1)). )? (24). Peres et al. [14] and Peres and Sousi [15] studied the detection time for the case when u also ... ClearlyTnonperc Tisol. We conclude with the question below. Question. Do the tail probabilities of

21 Mar 2012: 24. 6.6 Forward induction policies. 24. 7 Average-cost Programming 25. 7.1 Average-cost optimality equation.

11 Apr 2012: Ax,m(n)) nnr=0 hmp (r). 1. (24). Once this is proved, it follows by (23) that. ... prove (24), and the proof is essentially that of [11], Lemma 5.17.

20 Apr 2012: E [vol (Wg(t))] c E [vol (W0(t))]. (7). The expected volume of the Wiener sausage with g 0 is known to satisfy [24, 2]. ... P [Kct ] t exp(c1L). (24). We will now derive an upper bound for P[H̃t].

20 Apr 2012: 24. (5.19). Hence the number of rounds before hitting the root has a Geometric distribution,so it has bounded expectation. ... 1. α2β(n1)1lk=2. Po(Zn, > 0,Zn,k > 0). (5.24). 25. We let An, = Jn,1 Jn, Jn,1, for = 1, ,α2β(n1) 1 and for = 0 we