Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chaotic size dependence in the Ising model with random boundary
  conditions   We study the nearest-neighbour Ising model with a class of random boundary
conditions, chosen from a symmetric i.i.d. distribution. We show for dimensions
4 and higher that almost surely the only limit points for a sequence of
increasing cubes are the plus and the minus state. For d=2 and d=3 we prove a
similar result for sparse sequences of increasing cubes. This question was
raised by Newman and Stein. Our results imply that the Newman-Stein metastate
is concentrated on the plus and the minus state.

31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess