Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stabilit\'{e} du comportement des marches al\'{e}atoires sur un groupe
  localement compact   Dans cet article nous d\'{e}montrons un th\'{e}or\`{e}me de stabilit\'{e} des
probabilit\'{e}s de retour sur un groupe localement compact unimodulaire,
s\'{e}parable et compactement engendr\'{e}. Nous d\'{e}montrons que le
comportement asymptotique de $F^{*(2n)}(e)$ ne d\'{e}pend pas de la densit\'{e}
$F$ sous des hypoth\`{e}ses naturelles. A titre d'exemple nous \'{e}tablissons
que la probabilit\'{e} de retour sur une large classe de groupes r\'{e}solubles
se comporte comme $\exp(-n^{1/3})$.

7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph