Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviations for occupation time profiles of random interlacements   We derive a large deviation principle for the density profile of occupation
times of random interlacements at a fixed level in a large box of Z^d, with d
bigger or equal to 3. As an application, we analyze the asymptotic behavior of
the probability that atypically high values of the density profile insulate a
macroscopic body in a large box. As a step in this program, we obtain a similar
large deviation principle for the occupation-time measure of Brownian
interlacements at a fixed level in a large box of R^d, and we derive a new
identity for the Laplace transform of the occupation-time measure, which is
based on the analysis of certain Schr\"odinger semi-groups.

19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th