Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transience of conditioned walks on the plane: encounters and speed of
  escape   We consider the two-dimensional simple random walk conditioned on never
hitting the origin, which is,formally speaking, the Doob's $h$-transform of the
simple random walk with respect to the potential kernel. We then study the
behavior of the future minimum distance of the walk to the origin, and also
prove that two independent copies of the conditioned walk, although both
transient, will nevertheless meet infinitely many times a.s.

11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg