Spectral Expansion of the Transfer Matrices of Gibbs Fields

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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.