Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Independence times for iid sequences, random walks and L\'evy processes   For a sequence in discrete time having stationary independent values
(respectively, random walk) $X$, those random times $R$ of $X$ are
characterized set-theoretically, for which the strict post-$R$ sequence
(respectively, the process of the increments of $X$ after $R$) is independent
of the history up to $R$. For a L\'evy process $X$ and a random time $R$ of
$X$, reasonably useful sufficient conditions and a partial necessary condition
on $R$ are given, for the process of the increments of $X$ after $R$ to be
independent of the history up to $R$.

5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph