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25 Apr 2013: 24. 10 Examples and Questions. We start this section with examples that show that the reversibility assumption in Theorem 1.1and Corollary 2.5 is essential.

3 Jul 2013: This general approach was introduced by Baxter and Enting [3] in a studyof the Ising model, and has since been developed under the name Yang–Baxterequation, [22, 24].

14 Mar 2013: 24]; Rotz and Hughes [49];Wagner et al. [53]). Pixels in digital images are also sensors, and thus many other applications arefound in the rich literature on image processing, for example,

12 Sep 2013: combining (2.24)and (2.25) we obtain the following bound for the first probability on the right side of (2.23):. ... 1. nζ(κ2)/κ. ))). 24 JASON MILLER AND PERLA SOUSI. We now set δ = n(d2)ζ/κψ and ψ (0, 1/2) very small.

22 May 2013: 24. 6.5 Feasibility of wind instruments. 24. 7 Invariant distributions 25. ... 24. 7 Invariant distributions. 7.1 Examples of invariant distributions. Many of the long-time properties of Markov chains are connected with the notion ofan invariant

21 May 2013: Formula(1.1) appeared for the first time in this explicit form in the work of Kenyon [24]. ... study of the random-cluster model [16], and of the dimer model [24].

10 Oct 2013: E[|Y |1(|Y | λ)] E[|X|1(|Y | λ)] ε. Lemma 2.24. Let (Xn)n,X L1 and Xn X as n a.s. ... 24. 2.9 Applications of martingales. Theorem 2.32. [Kolmogorov’s 0-1 law] Let (Xi)i1 be a sequence of i.i.d.

22 May 2013: 24. 6.5 Bandit processes. 24. 7 Bandit Processes and the Gittins Index 25.