Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditional decoupling of random interlacements   We prove a conditional decoupling inequality for the model of random
interlacements in dimension $d\geq 3$: the conditional law of random
interlacements on a box (or a ball) $A_1$ given the (not very "bad")
configuration on a "distant" set $A_2$ does not differ a lot from the
unconditional law.

6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics