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Titlebook: In and Out of Equilibrium; Probability with a P Vladas Sidoravicius Book 2002 Birkhäuser Boston 2002 Maxima.Probability theory.Theoretical

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The Single Droplet Theorem for Random Cluster Models,e the minimum total droplet area A is imposed on the system, whereas in the Ising model the possibility of two or more large droplets competes with the possiblity of removing all but the largest of the large droplets and dispersing the contents of the other large droplets in many small droplets.
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Asymptotic Behaviour of Semi-Infinite Geodesics for Maximal Increasing Subsequences in the Plane,a direction and if there are two unigeodesics with the same direction they must meet and then coalesce. Out of these results we are able to construct a Busemann type function, which behaves at most diffusively.
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Federico Camia,Charles M. Newman,Vladas Sidoravicius
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