Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Bass diffusion model on networks with correlations and inhomogeneous
  advertising   The Bass model, which is an effective forecasting tool for innovation
diffusion based on large collections of empirical data, assumes an homogeneous
diffusion process. We introduce a network structure into this model and we
investigate numerically the dynamics in the case of networks with link density
$P(k)=c/k^\gamma$, where $k=1, \ldots , N$. The resulting curve of the total
adoptions in time is qualitatively similar to the homogeneous Bass curve
corresponding to a case with the same average number of connections. The peak
of the adoptions, however, tends to occur earlier, particularly when $\gamma$
and $N$ are large (i.e., when there are few hubs with a large maximum number of
connections). Most interestingly, the adoption curve of the hubs anticipates
the total adoption curve in a predictable way, with peak times which can be,
for instance when $N=100$, between 10% and 60% of the total adoptions peak.
This may allow to monitor the hubs for forecasting purposes. We also consider
the case of networks with assortative and disassortative correlations and a
case of inhomogeneous advertising where the publicity terms are "targeted" on
the hubs while maintaining their total cost constant.

27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat