Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ballistic random walks in random environment as rough paths: convergence
  and area anomaly   Annealed functional CLT in the rough path topology is proved for the standard
class of ballistic random walks in random environment. Moreover, the `area
anomaly', i.e. a deterministic linear correction for the second level iterated
integral of the rescaled path, is identified in terms of a stochastic area on a
regeneration interval. The main theorem is formulated in more general settings,
namely for any discrete process with uniformly bounded increments which admits
a regeneration structure where the regeneration times have finite moments. Here
the largest finite moment translates into the degree of regularity of the rough
path topology. In particular, the convergence holds in the $\alpha$-H\"older
rough path topology for all $\alpha<1/2$ whenever all moments are finite, which
is the case for the class of ballistic random walks in random environment. The
latter may be compared to a special class of random walks in Dirichlet
environments for which the regularity $\alpha<1/2$ is bounded away from $1/2$,
explicitly in terms of the corresponding trap parameter.

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The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess