Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropic repulsion and lack of the $g$-measure property for Dyson models   We consider Dyson models, Ising models with slow polynomial decay, at low
temperature and show that its Gibbs measures deep in the phase transition
region are not $g$-measures. The main ingredient in the proof is the occurrence
of an entropic repulsion effect, which follows from the mesoscopic stability of
a (single-point) interface for these long-range models in the phase transition
region.

24
The categories of this paper are: dg-ga
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio