Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random walks under slowly varying moment conditions on groups of
  polynomial volume growth   Let $G$ be a finitely generated group of polynomial volume growth equipped
with a word-length $|\cdot|$. The goal of this paper is to develop techniques
to study the behavior of random walks driven by symmetric measures $\mu$ such
that, for any $\epsilon>0$, $\sum|\cdot|^\epsilon\mu=\infty$. In particular, we
provide a sharp lower bound for the return probability in the case when $\mu$
has a finite weak-logarithmic moment.

31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
18
The categories of this paper are: econ
1
The categories of this paper are: cs