Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transient nearest neighbor random walk and Bessel process   We prove strong invariance principle between a transient Bessel process and a
certain nearest neighbor (NN) random walk that is constructed from the former
by using stopping times. It is also shown that their local times are close
enough to share the same strong limit theorems. It is shown furthermore, that
if the difference between the distributions of two NN random walks are small,
then the walks themselves can be constructed so that they are close enough.
Finally, some consequences concerning strong limit theorems are discussed.

24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn