Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the critical branching random walk III: the critical dimension   In this paper, we study the critical branching random walk in the critical
dimension, $Z^4$. We provide the asymptotics of the probability of visiting a
fixed finite subset and the range of the critical branching random walk
conditioned on the total number of offsprings. We also prove that conditioned
on visiting, the first visiting point converges in distribution.

25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg