Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduced long-range dependence combining Poisson bursts with on--off
  sources   A workload model using the infinite source Poisson model for bursts is
combined with the on--off model for within burst activity. Burst durations and
on--off durations are assumed to have heavy-tailed distributions with infinite
variance and finite mean. Since the number of bursts is random, one can
consider limiting results based on "random centering" of a random sum for the
total workload from all sources. Convergence results are shown to depend on the
tail indices of both the on--off durations and the lifetimes distributions.
Moreover, the results can be separated into cases depending on those tail
indices. In one case where all distributions are heavy tailed it is shown that
the limiting result is Brownian motion. In another case, convergence to
fractional Brownian motion is shown, where the Hurst parameter depends on the
heavy-tail indices of the distribution of the on, off and burst durations.

4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom