Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quenched Central Limit Theorems for Random Walks in Random Scenery   Random walks in random scenery are processes defined by
$$Z_n:=\sum_{k=1}^n\omega_{S_k}$$ where $S:=(S_k,k\ge 0)$ is a random walk
evolving in $\mathbb{Z}^d$ and $\omega:=(\omega_x, x\in{\mathbb Z}^d)$ is a
sequence of i.i.d. real random variables. Under suitable assumptions on the
random walk $S$ and the random scenery $\omega$, almost surely with respect to
$\omega$, the correctly renormalized sequence $(Z_n)_{n\geq 1}$ is proved to
converge in distribution to a centered Gaussian law with explicit variance.

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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin