Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disconnection and level-set percolation for the Gaussian free field   We study the level-set percolation of the Gaussian free field on Z^d, d
bigger or equal to 3. We consider a level alpha such that the excursion-set of
the Gaussian free field above alpha percolates. We derive large deviation
estimates on the probability that the excursion-set of the Gaussian free field
below the level alpha disconnects a box of large side-length from the boundary
of a larger homothetic box. It remains an open question whether our asymptotic
upper and lower bounds are matching. With the help of a recent work of Lupu,
see arXiv:1402.0298, we are able to infer some asymptotic upper bounds for
similar disconnection problems by random interlacements, or by simple random
walk.

35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con