Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of dependent walks in a random scenery to fBm-local time
  fractional stable motions   It is classical to approximate the distribution of fractional Brownian motion
by a renormalized sum $ S_n $ of dependent Gaussian random variables. In this
paper we consider such a walk $ Z_n $ that collects random rewards $ \xi_j $
for $ j \in \mathbb Z,$ when the ceiling of the walk $ S_n $ is located at $
j.$ The random reward (or scenery) $ \xi_j $ is independent of the walk and
with heavy tail. We show the convergence of the sum of independent copies of $
Z_n$ suitably renormalized to a stable motion with integral representation,
whose kernel is the local time of a fractional Brownian motion (fBm). This work
extends a previous work where the random walk $ S_n$ had independent increments
limits.

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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin