Plane partitions naturally appear in many problems of statistical physics and quantum field theory, for instance, in the theory of faceted crystals and of topological strings on Calabi–Yau… Expand

The time-dependent correlation functions of the XX0 Heisenberg chain over the ferromagnetic vacuum are considered as the generating functions of random walks on a one-dimensional lattice with… Expand

Quantum inverse methods are developed for the exact solution of models which describe N two-level atoms interacting with one mode of the quantized electromagnetic field containing an arbitrary number… Expand

Vertical-arrow fluctuations near the boundaries in the six-vertex model on the two-dimensional NxN square lattice with the domain wall boundary conditions are considered and the logarithmic terms obtained are compared with predictions from conformal field theory.Expand

We consider the six-vertex model on an N × N square lattice with the domain wall boundary conditions. Boundary one-point correlation functions of the model are expressed as determinants of N × N… Expand