Interacting lattice clusters

Abstract

Abstract In Chapter 3 the thermodynamic limit in models of lattice clusters is reviewed. The chapter then discusses the convexity of the limiting free energy and the concavity of the Legendre transform of the limiting free energy. The limiting free energy of lattice clusters and critical points, and the limiting free energy of lattice clusters in a wedge geometry are reviewed. In addition, the chapter covers the free energy of stiff random walks, Dyck paths, Lah and Lobb numbers, partitions and unzipping walks.</jats:p

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