Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-dimensional random interlacements and late points for random walks   We define the model of two-dimensional random interlacements using simple
random walk trajectories conditioned on never hitting the origin, and then
obtain some properties of this model. Also, for random walk on a large torus
conditioned on not hitting the origin up to some time proportional to the mean
cover time, we show that the law of the vacant set around the origin is close
to that of random interlacements at the corresponding level. Thus, this new
model provides a way to understand the structure of the set of late points of
the covering process from a microscopic point of view.

33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess