Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the moments of the meeting time of independent random walks in random
  environment   We consider, in the continuous time version, $\gamma$ independent random
walks on $\mathbb{Z_+}$ in random environment in the Sinai's regime. Let
$T_\gam$ be the first meeting time of one pair of the $\gamma$ random walks
starting at different positions. We first show that the tail of the quenched
distribution of $T_\gamma$, after a suitable rescaling, converges in
probability, to some functional of the Brownian motion. Then we compute the law
of this functional. Eventually, we obtain results about the moments of this
meeting time. Being $\Eo$ the quenched expectation, we show that, for almost
all environments $\omega$, $\Eo[T_\gamma^{c}]$ is finite for
$c<\gamma(\gamma-1)/2$ and infinite for $c>\gamma(\gamma-1)/2$.

11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn