Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A positive temperature phase transition in random hypergraph 2-coloring   Diluted mean-field models are graphical models in which the geometry of
interactions is determined by a sparse random graph or hypergraph. Based on a
nonrigorous but analytic approach called the "cavity method", physicists have
predicted that in many diluted mean-field models a phase transition occurs as
the inverse temperature grows from $0$ to $\infty$ [Proc. National Academy of
Sciences 104 (2007) 10318-10323]. In this paper, we establish the existence and
asymptotic location of this so-called condensation phase transition in the
random hypergraph $2$-coloring problem.

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The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg