By V. Privman
This monograph offers a close introductory exposition of analysis effects for numerous versions, more often than not two-dimensional, of directed walks, interfaces, wetting, floor adsorption (of polymers), stacks, compact clusters (lattice animals), and so forth. The unifying characteristic of those types is that during such a lot circumstances they are often solved analytically. The equipment used contain move matrices, producing features, recurrence kinfolk, and distinction equations, and at times contain usage of much less typical mathematical strategies akin to persevered fractions and q-series. The authors emphasize an total view of what will be discovered in general of the statistical mechanics of anisotropic structures, together with phenomena close to surfaces, by way of learning the solvable versions. hence, the concept that of scaling and, the place identified, finite-size scaling houses are elucidated. Scaling and statistical mechanics of anisoptropic platforms mostly are lively study themes. the quantity offers a complete survey of actual version ends up in this box.