Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of U-statistics indexed by a random walk to stochastic
  integrals of a Levy sheet   We establish limit theorems for U-statistics indexed by a random walk on Z^d
and we express the limit in terms of some Levy sheet Z(s,t). Under some
hypotheses, we prove that the limit process is Z(t,t) if the random walk is
transient or null-recurrent ant that it is some stochastic integral with
respect to Z when the walk is positive recurrent. We compare our results with
results for random walks in random scenery.

11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom