Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Examples of DLR states which are not weak limits of finite volume Gibbs
  measures with deterministic boundary conditions   We review what is known about the structure of the set of weak limiting
states of the Ising and Potts models at low enough temperature, and in
particular we prove that the mixture $\frac12(\mu^\pm+\mu^\mp)$ of two
reflection-symmetric Dobrushin states of the 3-dimensional Ising model at low
enough temperature is a Gibbs state which is not a limit of finite-volume
measures with deterministic boundary conditions. Finally we point out what the
issues are in order to extend the analysis to the Potts model, and give a few
conjectures.

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The categories of this paper are: physics
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The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas