Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poisson--Furstenberg boundaries of fundamental groups of closed
  3-manifolds   We obtain a description of Poisson--Furstenberg boundaries for (random walks
on) fundamental groups of compact graph-manifolds. Together with previously
known results due to V.A. Kaimanovich and others, this allows one to obtain
descriptions of Poisson--Furstenberg boundaries for fundamental groups of all
closed 3-manifolds.

25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph