Constructing the Google matrix of the entire Twitter network
and analyzing its spectrum and (eigenstate) properties of all nodes
show much stronger interconnectivity between top PageRank nodes
for the Twitter network compared to the networks of, say,
Wikipedia and British Universities studied previously.
The analysis allows to locate the top Twitter users
which control the information flow on the network.
It is argued that this small fraction
of the whole number of users,
which can be viewed as the social network elite,
plays the dominant role in the process
of opinion formation on the network.
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