Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moderate deviations for the self-normalized random walk in random
  scenery   Let $G$ be an infinite connected graph with vertex set $V$. Let $\{S_n: n \in
\mathbb N_0 \}$ be the simple random walk on $G$ and let $\{ \xi(v) : v \in V
\}$ be a collection of i.i.d. random variables which are independent of the
random walk. Define the random walk in random scenery as $T_n = \sum_{k=0}^n
\xi(S_k)$, and the normalization variables $V_n = (\sum_{k=0}^n
\xi^2(S_k))^{1/2}$ and $L_{n,2} = (\sum_{v \in V} \ell^2_n(v))^{1/2}$. For $G=
\mathbb Z^d$ and $G = \mathbb T_d$, the $d$-ary tree, we provide large
deviations results for the self-normalized process $T_n \sqrt{n}/(L_{n,2}V_n)$
under only finite moment assumptions on the scenery.

24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat