Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A central limit theorem for random walk in random environment on marked
  Galton-Watson trees   In this article we focus on a general model of random walk on random marked
trees. We prove a recurrence criterion, analogue to the recurrence criterion
proved by R. Lyons and Robin Pemantle (1992) in a slightly different model. In
the critical case, we obtain a criterion for the positive/null recurrence.
Several regimes appear, as proved (in a similar model), by Y. Hu and Z. Shi
(2007). We focus on the "diffusive" regime and improve their result in this
case, by obtaining a functional Central Limit Theorem. Our result is also an
extension of a result by Y. Peres and O. Zeitouni (2008), obtained in the
setting of biased random walk in Galton-Watson trees.

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The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg