Abstract
Boxed plane partitions are considered in terms of the five-vertex model on a finite lattice with fired boundary conditions. Assuming that all weights of the model have the same value, the one-point correlation function. describing the probability of having a given state on an arbitrary horizontal edge of the lattice is calculated. This is equivalent to the enumeration of boxed plane partitions that correspond to rhombus tilings of a hexagon with one fired rhombus of a particular type. The solution of the problem is given for the case of a boar of generic size. Bibliography: 24 titles.
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