Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence of the grand canonical ensemble and the canonical ensemble
  on 1d-lattice systems   We consider a one-dimensional lattice system of unbounded, real-valued spins
with arbitrary strong, quadratic, finite-range interaction. We show the
equivalence of the grand canonical ensemble (gce) and the canonical ensemble
(ce), in the sense of observables and correlations. A direct consequence is
that the correlations of the ce decay exponentially plus a volume correction
term. The volume correction term is uniform in the external field, the mean
spin and scales optimally in the system size. This extends prior results of
Cancrini & Martinelli for bounded discrete spins to unbounded continuous spins.
The result is obtained by adapting Cancrini & Martinelli's method combined with
authors' recent approach on continuous real-valued spin systems.

15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph