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On partial weakly clustering states with an application to the Ising model
Authors:G. G. Emch  H. J. F. Knops  E. J. Verboven
Affiliation:(1) Department of Physics and Astronomy, The University of Rochester, USA;(2) Instituut voor theoretische Fysika, Universiteit Nijmegen, The Netherlands
Abstract:The concept of partial weak clustering in the mean is defined for states on physical systems which admit amenable (semi-)groups of symmetries. The properties of partial weak clustering states are studied and the relations between these states and (extremal) invariant (partial) states are considered. As an application we discuss the zero field magnetization in the two-dimensional Ising model.
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