Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: No percolation at criticality on certain groups of intermediate growth   We prove that critical percolation has no infinite clusters almost surely on
any unimodular quasi-transitive graph satisfying a return probability upper
bound of the form $p_n(v,v) \leq \exp\left[-\Omega(n^\gamma)\right]$ for some
$\gamma>1/2$. The result is new in the case that the graph is of intermediate
volume growth.

29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph