Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Percolation on an infinitely generated group   We give an example of a long range Bernoulli percolation process on a group
non-quasi-isometric with $\mathbb{Z}$, in which clusters are almost surely
finite for all values of the parameter. This random graph admits diverse
equivalent definitions, and we study their ramifications. We also study its
expected size and point out certain phase transitions.

22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int