Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviation for uniform graphs with given degrees   Consider the random graph sampled uniformly from the set of all simple graphs
with a given degree sequence. Under mild conditions on the degrees, we
establish a Large Deviation Principle (LDP) for these random graphs, viewed as
elements of the graphon space. As a corollary of our result, we obtain LDPs for
functionals continuous with respect to the cut metric, and obtain an asymptotic
enumeration formula for graphs with given degrees, subject to an additional
constraint on the value of a continuous functional. Our assumptions on the
degrees are identical to those of Chatterjee, Diaconis and Sly (2011), who
derived the almost sure graphon limit for these random graphs.

12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th