Second Edition – R.A. Minlos, Institute for Information Transmission Problems, Moscow 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 pre-representation. 2019      Pbk     ISBN: 978-1-904868-99-6      70pp