Spectral Expansion of the Transfer Matrices of Gibbs Fields

This survey presents investigations of the structures of the spectrum of transfer

matrices (stochastic operators) of lattice Gibbs fields and considers cluster

expansion of the transfer matrix, invariant cluster R-particle subspaces of the

transfer matrix and cluster operators in p-representation. This edition of a classic

review provides a useful source of reference for students, postgraduates and

researchers in these areas of mathematics.